{"id":58347,"date":"2020-07-07T11:15:15","date_gmt":"2020-07-07T10:15:15","guid":{"rendered":"https:\/\/groupe-reussite.fr\/?page_id=58347"},"modified":"2025-03-17T13:50:58","modified_gmt":"2025-03-17T12:50:58","slug":"cours-en-ligne-theoreme-de-thales","status":"publish","type":"page","link":"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-theoreme-de-thales\/","title":{"rendered":"Cours en ligne sur le th\u00e9or\u00e8me de Thales"},"content":{"rendered":"<div class=\"Latex_page\">\n<section class=\"has_ae_slider elementor-element elementor-section-full_width elementor-reverse-mobile elementor-section-stretched elementor-section-height-default elementor-section-height-default ae-bg-gallery-type-default elementor-section elementor-top-section\">\n<div class=\"elementor-container elementor-column-gap-no\">\n<div class=\"elementor-row\">\n<div class=\"elementor-column-wrap elementor-element-populated colone_elementor\">\n<p style=\"text-align: justify\">\t\t<div data-elementor-type=\"page\" data-elementor-id=\"86176\" class=\"elementor elementor-86176\">\n\t\t\t\t\t\t<div class=\"elementor-inner\">\n\t\t\t\t<div class=\"elementor-section-wrap\">\n\t\t\t\t\t\t\t\t\t<section class=\"has_ae_slider elementor-section elementor-top-section elementor-element elementor-element-6f9fb2b3 elementor-section-content-bottom elementor-section-boxed elementor-section-height-default elementor-section-height-default ae-bg-gallery-type-default\" data-id=\"6f9fb2b3\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-no\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-5032621c sticky_badeau_colone strick_col ae-bg-gallery-type-default\" data-id=\"5032621c\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-column-wrap\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"has_ae_slider elementor-section elementor-top-section elementor-element elementor-element-611bd75f elementor-section-boxed elementor-section-height-default elementor-section-height-default ae-bg-gallery-type-default\" data-id=\"611bd75f\" data-element_type=\"section\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-no\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-100 elementor-top-column elementor-element elementor-element-55718945 strick_col ae-bg-gallery-type-default\" data-id=\"55718945\" data-element_type=\"column\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5940f45c elementor-widget elementor-widget-heading\" data-id=\"5940f45c\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<p class=\"elementor-heading-title elementor-size-default\"><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-tage-mage\/\">Cours en ligne Tage Mage <\/a><\/p>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-f9bc725 elementor-widget elementor-widget-heading\" data-id=\"f9bc725\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<p class=\"elementor-heading-title elementor-size-default\">Chapitres du sous-test 2 du Tage Mage<\/p>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-56c02cf0 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"56c02cf0\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-fractions\/\" class=\"elementor-button-link elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Fractions<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-390da5ff elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"390da5ff\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-pourcentages\/\" class=\"elementor-button-link elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Pourcentages<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-da8d658 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"da8d658\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-algebre\/\" class=\"elementor-button-link elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Alg\u00e8bre<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-490ac2aa elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"490ac2aa\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-figures-geometriques\/\" class=\"elementor-button-link elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">G\u00e9om\u00e9trie<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-3fd40310 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"3fd40310\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-vitesse\/\" class=\"elementor-button-link elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Vitesse<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6edf1c7e elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"6edf1c7e\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-arithmetique\/\" class=\"elementor-button-link elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Arithm\u00e9tique<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-4f2c805 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"4f2c805\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-puissances\/\" class=\"elementor-button-link elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Puissances<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-447b658 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"447b658\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-regle-de-trois\/\" class=\"elementor-button-link elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Proportionnalit\u00e9<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-53863aa elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"53863aa\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-denombrement\/\" class=\"elementor-button-link elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">D\u00e9nombrement<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-11741389 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"11741389\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-probabilites\/\" class=\"elementor-button-link elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Probabilit\u00e9s<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6ace8ace elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"6ace8ace\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-moyenne-arithmetique-moyenne-ponderee\/\" class=\"elementor-button-link elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Moyenne<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-13f1db2f elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"13f1db2f\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-theoreme-de-pythagore\/\" class=\"elementor-button-link elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Th\u00e9or\u00e8me de Pythagore<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-10d04684 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"10d04684\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-theoreme-de-thales\/\" class=\"elementor-button-link elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Th\u00e9or\u00e8me de Thal\u00e8s<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-691a3a8a elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"691a3a8a\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-racines-carrees\/\" class=\"elementor-button-link elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Racines Carr\u00e9es<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2a5f7bd6 elementor-align-justify elementor-widget elementor-widget-button\" data-id=\"2a5f7bd6\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/nous-contacter\/\" class=\"elementor-button-link elementor-button elementor-size-sm\" role=\"button\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">CONTACTEZ-NOUS<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t\n<\/div>\n<div class=\"elementor-column-wrap elementor-element-populated colone_latex\">\n<div class=\"style_pag\" style=\"color: #000;font-family: 'Lato', Sans-serif\">\n<div class=\"elementor-text-editor elementor-clearfix\" style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">\n<h1 class=\"Latex_page_title\">Le th\u00e9or\u00e8me de Thales : cours, formule et r\u00e9ciproque<\/h1>\n<\/div>\n<p class=\"colone_latex_ancres\" style=\"color: #000000;font-family: Lato, sans-serif;text-align: center\"><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-theoreme-de-thales\/\">R\u00e9sum\u00e9 de cours<\/a> <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-theoreme-de-thales\/\">Exercices et corrig\u00e9s<\/a><\/p>\n<p class=\"colone_latex_ancres\" style=\"color: #000000;font-family: Lato, sans-serif;text-align: center\"><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-tage-mage\/\">Cours en ligne du Tage Mage<\/a><\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">Le th\u00e9or\u00e8me de Thal\u00e8s tout comme le <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-theoreme-de-pythagore\/\">th\u00e9or\u00e8me de Pythagore<\/a> est une r\u00e8gle fondamentale de la <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-figures-geometriques\/\">g\u00e9om\u00e9trie<\/a> classique. Le th\u00e9or\u00e8me de Thales est abord\u00e9 la premi\u00e8re fois au coll\u00e8ge et doit donc \u00eatre ma\u00eetris\u00e9 pour se pr\u00e9parer au brevet. Il est aussi demand\u00e9 pour la pr\u00e9pa du Tage Mage et du Score IAE Message de connaitre et savoir appliquer le th\u00e9or\u00e8me de Thales et sa r\u00e9ciproque. Pour une meilleure ma\u00eetrise du th\u00e9or\u00e8me de Thales, nous vous invitons \u00e0 suivre des <a href=\"https:\/\/groupe-reussite.fr\/cours-particuliers\/maths\/tous-niveaux\/france\/\">cours particuliers de maths<\/a> avec des professeurs agr\u00e9g\u00e9s et exp\u00e9riment\u00e9s.<\/p>\n<h2 style=\"text-align: justify\">Le th\u00e9or\u00e8me de Thales : formules de base<\/h2>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">Sur les deux figures ci-dessous la droite (AB) est parall\u00e8le \u00e0 la droite (MN)<\/p>\n<p style=\"text-align: justify\"><img loading=\"lazy\" class=\"alignnone size-full wp-image-58355\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2020\/07\/theoreme-thales-triangle.jpg\" alt=\"cours theoreme thales\" width=\"400\" height=\"209\" \/><\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">O est le point d\u2019intersection en les deux droites s\u00e9cantes (BN) et (AM)<\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">Pour appliquer le th\u00e9or\u00e8me de Thales, plusieurs <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-conditions-minimales\/\">conditions<\/a> sont n\u00e9cessaires :<br \/>\n&#8211; Le point M est sur la droite (OA)<br \/>\n&#8211; Le point N est sur la droite (OB)<br \/>\n&#8211; les droites (MN) et (AB) sont parall\u00e8les : (MN) \/\/ (AB)<\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">D&rsquo;apr\u00e8s le th\u00e9or\u00e8me de Thal\u00e8s, on peut donc en d\u00e9duire que :<\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">$\\dfrac{OM}{OA}$ = $\\dfrac{ON}{OB}$ = $\\dfrac{MN}{AB}$<\/p>\n<p style=\"text-align: justify\"><img loading=\"lazy\" class=\"alignnone size-full wp-image-58356\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2020\/07\/figure-theoreme-thales.jpg\" alt=\"triangle invers\u00e9 th\u00e9or\u00e8me thales\" width=\"400\" height=\"249\" \/><\/p>\n<p style=\"text-align: justify\">\t\t<div data-elementor-type=\"section\" data-elementor-id=\"84983\" class=\"elementor elementor-84983\">\n\t\t\t\t\t<div class=\"elementor-section-wrap\">\n\t\t\t\t\t\t\t\t<section class=\"has_ae_slider elementor-section elementor-inner-section elementor-element elementor-element-51d9c4d elementor-section-content-bottom full_width elementor-section-full_width elementor-section-height-min-height elementor-section-height-default ae-bg-gallery-type-default\" data-id=\"51d9c4d\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-narrow\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-66 elementor-inner-column elementor-element elementor-element-610eeeb9 ae-bg-gallery-type-default\" data-id=\"610eeeb9\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-5bf69eb8 elementor-widget elementor-widget-heading\" data-id=\"5bf69eb8\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">COURS DE MATHS<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-49568da4 elementor-widget elementor-widget-heading\" data-id=\"49568da4\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">Les meilleurs professeurs particuliers<\/h4>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1eb9e0cb elementor-widget elementor-widget-heading\" data-id=\"1eb9e0cb\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">Pour progresser et r\u00e9ussir<\/h4>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-15c3e28d elementor-align-left elementor-mobile-align-center elementor-widget elementor-widget-button\" data-id=\"15c3e28d\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/cours-particuliers\/maths\/tous-niveaux\/france\/\" target=\"_blank\" class=\"elementor-button-link elementor-button elementor-size-md\" role=\"button\" id=\"CTA_PRD_CP\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Cours particuliers maths<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-1a5c10e7 elementor-widget elementor-widget-text-editor\" data-id=\"1a5c10e7\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p style=\"text-align: left\"><b>Avis Google France <\/b><span style=\"color: #e5a430\"><b>\u2605\u2605\u2605\u2605\u2605<\/b><\/span><b> 4,9 sur 5<\/b><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-6913d4fe ae-bg-gallery-type-default\" data-id=\"6913d4fe\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\"><em>Exemple<\/em> d&rsquo;application du th\u00e9or\u00e8me de Thal\u00e8s :<\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">Sur la figure ci-dessous, les dimensions ne sont pas respect\u00e9es.<br \/>\nLes droites (RS) et (LK) sont parall\u00e8les.<br \/>\nOn donne :<br \/>\nLM = 6 cm, LK = 5 cm, KM = 8 cm et SM = 6 cm.<br \/>\nCalculer MR.<\/p>\n<p style=\"text-align: justify\"><img loading=\"lazy\" class=\"alignnone size-full wp-image-58358\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2020\/07\/exemple-type-thales.jpg\" alt=\"theoreme thales exemple type\" width=\"400\" height=\"258\" \/><\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">Calculons RM.<br \/>\nLe point R est sur la droite (ML)<br \/>\nLe point S est sur la droite (MK)<br \/>\nLes droites (RS) et (LK) sont parall\u00e8lles : (RS) \/\/ (LK)<\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">D&rsquo;apr\u00e8s le th\u00e9or\u00e8me de Thal\u00e8s,<\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">$\\dfrac{MR}{ML}$ = $\\dfrac{MS}{MK}$ = $\\dfrac{RS}{LK}$<\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">D&rsquo;o\u00f9 $\\dfrac{MR}{ML}$ = $\\dfrac{MS}{MK}$<\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">D&rsquo;o\u00f9 $\\dfrac{MR}{6}$ = $\\dfrac{6}{8}$<\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">Donc 8 x MR = 6 x 6<\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">Finalement MR = $\\dfrac{36}{8}$ = $\\dfrac{9}{2}$<\/p>\n<p style=\"text-align: justify\"><em><span style=\"color: #000000;font-family: Lato, sans-serif\">Autre exemple d&rsquo;application du th\u00e9or\u00e8me de Thales :<\/span><\/em><\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">Sur la figure ci-dessous, les dimensions ne sont pas respect\u00e9es.<br \/>\nLes droites (AB) et (CD) sont parall\u00e8les.<br \/>\nLes droites (AC) et (BD) sont s\u00e9cantes en E.<br \/>\nOn donne :<br \/>\nAB = 3 cm, BD = 9 cm, AC = 6 cm et BE = 5 cm.<br \/>\nCalculer CD.<\/p>\n<p style=\"text-align: justify\"><img loading=\"lazy\" class=\"alignnone size-full wp-image-58360\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2020\/07\/Triangle-inverse-thales.jpg\" alt=\"exemple type theoreme thales\" width=\"400\" height=\"249\" \/><\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">Calculons CD.<br \/>\nLe point C est sur la droite (EA)<br \/>\nLe point D est sur la droite (EB)<br \/>\nLes droites (CD) (AB) sont parall\u00e8les : (CD) \/\/ (AB)<\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">D&rsquo;apr\u00e8s le th\u00e9or\u00e8me de Thal\u00e8s,<\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">$\\dfrac{EC}{EA}$ = $\\dfrac{ED}{EB}$ = $\\dfrac{CD}{AB}$<\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">D&rsquo;o\u00f9 $\\dfrac{ED}{EB}$ = $\\dfrac{CD}{AB}$<\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">D&rsquo;o\u00f9 ED = BD &#8211; BE = 9 &#8211; 5 = 4 cm<\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">Finalement : $\\dfrac{4}{5}$ = $\\dfrac{CD}{3}$<\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">5 x CD = 4 x 3<\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">Donc CD = $\\dfrac{12}{5}$<\/p>\n<p style=\"text-align: justify\">\t\t<div data-elementor-type=\"section\" data-elementor-id=\"186412\" class=\"elementor elementor-186412\">\n\t\t\t\t\t<div class=\"elementor-section-wrap\">\n\t\t\t\t\t\t\t\t<section class=\"has_ae_slider elementor-section elementor-inner-section elementor-element elementor-element-7b286009 elementor-section-content-bottom full_width elementor-section-full_width elementor-section-height-min-height elementor-section-height-default ae-bg-gallery-type-default\" data-id=\"7b286009\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;classic&quot;}\">\n\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-narrow\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-66 elementor-inner-column elementor-element elementor-element-64f5fda0 ae-bg-gallery-type-default\" data-id=\"64f5fda0\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-bccc2bf elementor-widget elementor-widget-heading\" data-id=\"bccc2bf\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">COURS DE MATHS A DOMICILE<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-6ba807dc elementor-widget elementor-widget-heading\" data-id=\"6ba807dc\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">Les meilleurs profs de maths pour <br\/> r\u00e9ussir sa scolarit\u00e9 <\/b><\/h4>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-9f19bd5 elementor-widget elementor-widget-heading\" data-id=\"9f19bd5\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">En ligne ou \u00e0 domicile<\/h4>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-2d959d5a elementor-align-left elementor-mobile-align-center elementor-widget elementor-widget-button\" data-id=\"2d959d5a\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/cours-particuliers\/maths\/tous-niveaux\/france\/\" target=\"_blank\" class=\"elementor-button-link elementor-button elementor-size-md\" role=\"button\" id=\"CTA_PRD_CP\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Je recherche un prof de maths \u00e0 domicile<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-21d714d4 elementor-widget elementor-widget-text-editor\" data-id=\"21d714d4\" data-element_type=\"widget\" data-widget_type=\"text-editor.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t\t\t\t<div class=\"elementor-text-editor elementor-clearfix\">\n\t\t\t\t<p style=\"text-align: left;\"><b>Avis Google France <\/b><span style=\"color: #e5a430;\"><b>\u2605\u2605\u2605\u2605\u2605<\/b><\/span><b> 4,9 sur 5<\/b><\/p>\t\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-33 elementor-inner-column elementor-element elementor-element-2ffb5a60 ae-bg-gallery-type-default\" data-id=\"2ffb5a60\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\n<h2 style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">La r\u00e9ciproque du th\u00e9or\u00e8me de Thal\u00e8s<\/h2>\n<p id=\"E254\" style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">Soient (d) et (d\u2019) deux droites s\u00e9cantes en A.<br \/>\nSoient B et M deux points de la droite (d), distincts de A.<br \/>\nSoient C et N deux points de la droite (d\u2019), distincts de A.<\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">Si $\\dfrac{AM}{AB}$ = $\\dfrac{AN}{AC}$ et si les points A, B, M et les points A, C, N sont dans le m\u00eame ordre, alors les droites (BC) et (MN) sont parall\u00e8les.<\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\"><img loading=\"lazy\" class=\"size-full wp-image-58362 alignleft\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2020\/07\/reciproque-thales-exemple.jpg\" alt=\"reciproque thales droite parralele \" width=\"321\" height=\"250\" \/><\/p>\n<h3 style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\"><\/h3>\n<p style=\"text-align: justify\"><img loading=\"lazy\" class=\"alignnone size-full wp-image-58364\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2020\/07\/reciproque-thales-triangle-inverse.jpg\" alt=\"exemple type reciproque thales\" width=\"400\" height=\"289\" \/><\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\"><em>Exemple d&rsquo;application de la r\u00e9ciproque du th\u00e9or\u00e8me de Thales :<\/em><\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">On consid\u00e8re la figure ci-contre.<br \/>\nD\u00e9montrer que les droites (BD) et (EC) sont parall\u00e8les.<\/p>\n<p style=\"text-align: justify\"><img loading=\"lazy\" class=\"alignnone size-full wp-image-58366\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2020\/07\/exemple-reciproque-thales.jpg\" alt=\"triangle theoreme thales\" width=\"400\" height=\"240\" \/><\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">Comparons $\\dfrac{AB}{AC}$ et $\\dfrac{AD}{AE}$<\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">$\\dfrac{AB}{AC}$ = $\\dfrac{8}{12}$ = $\\dfrac{2}{3}$<\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">$\\dfrac{AD}{AE}$ = $\\dfrac{10}{15}$ = $\\dfrac{2}{3}$<\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">Donc $\\dfrac{AB}{AC}$ = $\\dfrac{AD}{AE}$<\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">Les droites (BC) et (DE) sont s\u00e9cantes en A.<\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">Comme $\\dfrac{AB}{AC}$ = $\\dfrac{AD}{AE}$ et puisque les points A, B et C sont align\u00e9s dans le m\u00eame ordre que les points A, D et E d\u2019apr\u00e8s la r\u00e9ciproque du th\u00e9or\u00e8me de Thal\u00e8s, les droites (BD) et (EC) sont parall\u00e8les.<\/p>\n<p style=\"text-align: justify\">\t\t<div data-elementor-type=\"section\" data-elementor-id=\"186409\" class=\"elementor elementor-186409\">\n\t\t\t\t\t<div class=\"elementor-section-wrap\">\n\t\t\t\t\t\t\t\t<section class=\"has_ae_slider elementor-section elementor-inner-section elementor-element elementor-element-208557d4 elementor-section-content-bottom full_width elementor-section-full_width elementor-section-height-min-height elementor-section-height-default ae-bg-gallery-type-default\" data-id=\"208557d4\" data-element_type=\"section\" data-settings=\"{&quot;background_background&quot;:&quot;gradient&quot;}\">\n\t\t\t\t\t\t\t<div class=\"elementor-background-overlay\"><\/div>\n\t\t\t\t\t\t\t<div class=\"elementor-container elementor-column-gap-narrow\">\n\t\t\t\t\t\t\t<div class=\"elementor-row\">\n\t\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-5c1307a9 ae-bg-gallery-type-default\" data-id=\"5c1307a9\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap elementor-element-populated\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t<div class=\"elementor-element elementor-element-a42a1b elementor-widget elementor-widget-heading\" data-id=\"a42a1b\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h3 class=\"elementor-heading-title elementor-size-default\">AVOIR LES MEILLEURS PROFS DE MATHS<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-53b6892b elementor-widget elementor-widget-heading\" data-id=\"53b6892b\" data-element_type=\"widget\" data-widget_type=\"heading.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t<h4 class=\"elementor-heading-title elementor-size-default\">C'est gagner en autonomie<\/h4>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-339aefc1 elementor-align-left elementor-mobile-align-center elementor-widget elementor-widget-button\" data-id=\"339aefc1\" data-element_type=\"widget\" data-widget_type=\"button.default\">\n\t\t\t\t<div class=\"elementor-widget-container\">\n\t\t\t\t\t<div class=\"elementor-button-wrapper\">\n\t\t\t<a href=\"https:\/\/groupe-reussite.fr\/cours-particuliers\/maths\/tous-niveaux\/france\/\" target=\"_blank\" class=\"elementor-button-link elementor-button elementor-size-md\" role=\"button\" id=\"CTA_PRD_CP\">\n\t\t\t\t\t\t<span class=\"elementor-button-content-wrapper\">\n\t\t\t\t\t\t<span class=\"elementor-button-text\">Cours de maths particulier<\/span>\n\t\t<\/span>\n\t\t\t\t\t<\/a>\n\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t<div class=\"has_ae_slider elementor-column elementor-col-50 elementor-inner-column elementor-element elementor-element-461d5d63 ae-bg-gallery-type-default\" data-id=\"461d5d63\" data-element_type=\"column\">\n\t\t\t<div class=\"elementor-column-wrap\">\n\t\t\t\t\t\t\t<div class=\"elementor-widget-wrap\">\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/div>\n\t\t\t\t\t\t\t\t<\/div>\n\t\t\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\n<p id=\"E323\" style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\"><em>Autre exemple d&rsquo;application de la r\u00e9ciproque du th\u00e9or\u00e8me de Thal\u00e8s :<\/em><\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">Sur la figure ci-dessous, les points G, T et L\u00a0sont align\u00e9s et les points F, T et P sont align\u00e9s.<\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">Les droites (FG) et (LP) sont-elles parall\u00e8les ?<\/p>\n<p style=\"text-align: justify\"><img loading=\"lazy\" class=\"alignnone size-full wp-image-58367\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2020\/07\/dernier-exemple-reciproque-thales.jpg\" alt=\"reciproque theoreme thales\" width=\"400\" height=\"202\" \/><\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">Comparons $\\dfrac{TG}{TL}$ et $\\dfrac{TF}{TP}$<\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">$\\dfrac{TG}{TL}$ = $\\dfrac{1,8}{6}$ = $\\dfrac{18}{60}$ = $\\dfrac{3}{10}$<\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">$\\dfrac{TF}{TP}$ = $\\dfrac{3}{9}$ = $\\dfrac{1}{3}$<\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">Or $\\dfrac{3}{10}$ \u2260 $\\dfrac{1}{3}$ donc $\\dfrac{TG}{TL}$ \u2260 $\\dfrac{TF}{TP}$.<\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">De plus, les droites (FP) et (GL) sont s\u00e9cantes en T.<\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">Donc les droites (FG) et (LP) ne sont pas parall\u00e8les.<\/p>\n<p style=\"text-align: justify\">Ne rel\u00e2chez pas vos efforts et assurez-vous de conna\u00eetre sur le bout des doigts toutes les notions de math\u00e9matiques pr\u00e9sentes dans le sous-test 2 Tage Mage, en utilisant nos cours en ligne du Tage Mage, dont en voici quelques-uns :<\/p>\n<ul style=\"text-align: justify\">\n<li style=\"text-align: justify\"><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-racines-carrees\/\">Cours sur les racines carr\u00e9es<\/a><\/li>\n<li style=\"text-align: justify\"><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-fractions\/\">Fiche de r\u00e9vision sur les fractions<\/a><\/li>\n<li style=\"text-align: justify\"><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-pourcentages\/\">R\u00e9sum\u00e9 de cours sur les pourcentages<\/a><\/li>\n<li style=\"text-align: justify\"><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-algebre\/\">Comprendre l&rsquo;alg\u00e8bre<\/a><\/li>\n<li><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-figures-geometriques\/\">Cours sur la g\u00e9om\u00e9trie<\/a><\/li>\n<li><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-racines-carrees\/\">Exercices sur les racines carr\u00e9es<\/a><\/li>\n<li><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-fractions\/\">Entra\u00eenement sur les fractions<\/a><\/li>\n<\/ul>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<\/section>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Le th\u00e9or\u00e8me de Thales : cours, formule et r\u00e9ciproque R\u00e9sum\u00e9 de cours Exercices et corrig\u00e9s Cours en ligne du Tage Mage Le th\u00e9or\u00e8me de Thal\u00e8s tout comme le th\u00e9or\u00e8me de Pythagore est une r\u00e8gle fondamentale de la g\u00e9om\u00e9trie classique. Le th\u00e9or\u00e8me de Thales est abord\u00e9 la premi\u00e8re fois au coll\u00e8ge et doit donc \u00eatre ma\u00eetris\u00e9 [&hellip;]<\/p>\n","protected":false},"author":6,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v20.2.1 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Th\u00e9or\u00e8me de Thales : cours, d\u00e9finition, formules et r\u00e9ciproque<\/title>\n<meta name=\"description\" content=\"Le th\u00e9or\u00e8me de Thales est un th\u00e9or\u00e8me fondamental de g\u00e9om\u00e9trie, retrouvez sa d\u00e9finition, sa r\u00e9ciproque, ses formules dans ce cours en ligne\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-theoreme-de-thales\/\" \/>\n<meta property=\"og:locale\" content=\"fr_FR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Th\u00e9or\u00e8me de Thales : cours, d\u00e9finition, formules et r\u00e9ciproque\" \/>\n<meta property=\"og:description\" content=\"Le th\u00e9or\u00e8me de Thales est un th\u00e9or\u00e8me fondamental de g\u00e9om\u00e9trie, retrouvez sa d\u00e9finition, sa r\u00e9ciproque, ses formules dans ce cours en ligne\" \/>\n<meta property=\"og:url\" content=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-theoreme-de-thales\/\" \/>\n<meta property=\"og:site_name\" content=\"Groupe R\u00e9ussite\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/GroupeReussiteOfficiel\/\" \/>\n<meta property=\"article:modified_time\" content=\"2025-03-17T12:50:58+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2020\/07\/theoreme-thales-triangle.jpg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:site\" content=\"@GroupeReussite\" \/>\n<meta name=\"twitter:label1\" content=\"Dur\u00e9e de lecture estim\u00e9e\" \/>\n\t<meta name=\"twitter:data1\" content=\"6 minutes\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-theoreme-de-thales\/\",\"url\":\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-theoreme-de-thales\/\",\"name\":\"Th\u00e9or\u00e8me de Thales : cours, d\u00e9finition, formules et r\u00e9ciproque\",\"isPartOf\":{\"@id\":\"https:\/\/groupe-reussite.fr\/ressources\/#website\"},\"datePublished\":\"2020-07-07T10:15:15+00:00\",\"dateModified\":\"2025-03-17T12:50:58+00:00\",\"description\":\"Le th\u00e9or\u00e8me de Thales est un th\u00e9or\u00e8me fondamental de g\u00e9om\u00e9trie, retrouvez sa d\u00e9finition, sa r\u00e9ciproque, ses formules dans ce cours en ligne\",\"breadcrumb\":{\"@id\":\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-theoreme-de-thales\/#breadcrumb\"},\"inLanguage\":\"fr-FR\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-theoreme-de-thales\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-theoreme-de-thales\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Accueil\",\"item\":\"https:\/\/groupe-reussite.fr\/ressources\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Cours en ligne sur le th\u00e9or\u00e8me de Thales\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/groupe-reussite.fr\/ressources\/#website\",\"url\":\"https:\/\/groupe-reussite.fr\/ressources\/\",\"name\":\"Groupe R\u00e9ussite - 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