{"id":58628,"date":"2020-07-08T13:58:33","date_gmt":"2020-07-08T12:58:33","guid":{"rendered":"https:\/\/groupe-reussite.fr\/?page_id=58628"},"modified":"2024-10-07T16:35:28","modified_gmt":"2024-10-07T15:35:28","slug":"cours-en-ligne-theoreme-de-pythagore","status":"publish","type":"page","link":"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-theoreme-de-pythagore\/","title":{"rendered":"Cours en ligne sur le th\u00e9or\u00e8me de Pythagore"},"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 Pythagore : cours, exemples, formules 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-pythagore\/\">R\u00e9sum\u00e9 de cours<\/a> <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-theoreme-de-pythagore\/\">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\">\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">Le th\u00e9or\u00e8me de Pythagore est le premier th\u00e9or\u00e8me important de <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-figures-geometriques\/\">g\u00e9om\u00e9trie<\/a> vu au coll\u00e8ge et doit \u00eatre \u00e0 ce titre maitris\u00e9 par ceux qui pr\u00e9parent le brevet, mais aussi par ceux qui s&rsquo;entrainent au Tage Mage ou au Score Message.\u00a0Le th\u00e9or\u00e8me de Pythagore comme le <a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-theoreme-de-thales\/\">th\u00e9or\u00e8me de Thales<\/a> manie les triangles, et en particulier les triangles rectangles. Sa r\u00e9ciproque permet de calculer la longueur des cot\u00e9s du triangle rectangle.<\/p>\n<p>Si vous avez des difficult\u00e9s \u00e0 comprendre ou ma\u00eetriser le th\u00e9or\u00e8me de Pythagore, vous pouvez faire appel \u00e0 un <a href=\"https:\/\/groupe-reussite.fr\/cours-particuliers\/maths\/tous-niveaux\/france\/\">prof de maths \u00e0 domicile<\/a> avec Groupe R\u00e9ussite. Ce dernier vous aidera \u00e0 totalement ma\u00eetriser le th\u00e9or\u00e8me de Pythagore \u00e0 travers des cours sur mesure, des entra\u00eenements sur des exercices adapt\u00e9s \u00e0 votre niveau et des concours blancs de Tage Mage en maths pour une pr\u00e9paration optimale.<\/p>\n<h2 style=\"text-align: justify\">D\u00e9finitions du th\u00e9or\u00e8me de Pythagore<\/h2>\n<ul style=\"text-align: justify\">\n<li style=\"color: #000000;font-family: Lato, sans-serif\">On dit qu&rsquo;un triangle est <strong>rectangle<\/strong> si l&rsquo;un de ses trois angles est un angle droit<\/li>\n<li><span style=\"color: #000000;font-family: Lato, sans-serif\">Dans un triangle rectangle, le c\u00f4t\u00e9 oppos\u00e9 au sommet de l&rsquo;angle droit est appel\u00e9 <b>hypot\u00e9nuse<\/b>\u00a0; c&rsquo;est le c\u00f4t\u00e9 le plus long du triangle.<\/span><\/li>\n<\/ul>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-58636\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2020\/07\/triangle-rectangle-cours.jpg\" alt=\"th\u00e9or\u00e8me pythagore cours\" width=\"400\" height=\"340\" \/><\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">a et b sont des c\u00f4t\u00e9s de l&rsquo;angle droit C<\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">c est l\u2019hypot\u00e9nuse du triangle rectangle ABC<\/p>\n\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>&nbsp;<\/p>\n<h2 style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">Calculer la longueur d&rsquo;un c\u00f4t\u00e9 avec le th\u00e9or\u00e8me de Pythagore<\/h2>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\"><strong>Si<\/strong> un triangle est rectangle, <strong>alors<\/strong> le carr\u00e9 de la longueur de l\u2019hypot\u00e9nuse est \u00e9gal \u00e0 la somme des carr\u00e9s des longueurs des deux c\u00f4t\u00e9s de l&rsquo;angle droit.<\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\"><em> Exemple avec le th\u00e9or\u00e8me de Pythagore<\/em>\u00a0:<\/p>\n<ul style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">\n<li>Calculer la longueur de l\u2019hypot\u00e9nuse<\/li>\n<\/ul>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-58638\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2020\/07\/exemple-theoreme-pythagore.jpg\" alt=\"exemple avec triangle rectangle \" width=\"300\" height=\"161\" \/><\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">On sait que le triangle ENT est rectangle en N. On peut donc appliquer le th\u00e9or\u00e8me de Pythagore :<\/p>\n<p style=\"text-align: justify\">ET\u00b2 = NT\u00b2 + NE\u00b2<\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">En rempla\u00e7ant les longueurs connues par leurs valeurs, on obtient :<\/p>\n<p style=\"text-align: justify\">ET\u00b2 = 9\u00b2 + 7\u00b2<br \/>\nET\u00b2 = 81+49<br \/>\nET\u00b2 = 130<\/p>\n<p style=\"text-align: justify\">ET = <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-8e1b413a5eb8f9db4ca1bfe05cc12c1e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#115;&#113;&#114;&#116;&#123;&#49;&#51;&#48;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"41\" style=\"vertical-align: -2px;\"\/> \u2248 11,4<\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">Donc la longueur du c\u00f4t\u00e9 [ET] est 11,4 environ.<\/p>\n<ul style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">\n<li>Calculer la longueur d&rsquo;un c\u00f4t\u00e9 de l&rsquo;angle droit<\/li>\n<\/ul>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-58636\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2020\/07\/triangle-rectangle-cours.jpg\" alt=\"th\u00e9or\u00e8me pythagore cours\" width=\"400\" height=\"340\" \/><\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">On pose a = 5 cm et c = 13 cm<\/p>\n<p style=\"text-align: justify\">On sait que le triangle ACB est rectangle en C. On peut donc appliquer le th\u00e9or\u00e8me de Pythagore :<\/p>\n<p style=\"text-align: justify\">AB\u00b2 =AC\u00b2+BC\u00b2<\/p>\n<p style=\"text-align: justify\">En rempla\u00e7ant les longueurs connues par leurs valeurs, on obtient :<\/p>\n<p style=\"text-align: justify\">13\u00b2 =AC\u00b2 +5\u00b2<br \/>\n169 =AC\u00b2 +25<br \/>\nAC\u00b2 = 169\u221225<br \/>\nAC\u00b2 = 144<\/p>\n<p style=\"text-align: justify\">AC= <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-bb4b7e7ac9715b068342f7e4ccdd555c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#115;&#113;&#114;&#116;&#123;&#49;&#52;&#52;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"41\" style=\"vertical-align: -2px;\"\/> = 12<\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">Donc la longueur du c\u00f4t\u00e9 [AC] est 12.<\/p>\n<h2 style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">D\u00e9montrer qu&rsquo;un triangle n&rsquo;est pas rectangle avec Pythagore<\/h2>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-58646\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2020\/07\/triangleabc.jpg\" alt=\"triangle pas rectangle pythagore\" width=\"200\" height=\"219\" \/><\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">On pose AB = 6 cm, AC = 9 cm, BC = 12 cm.<\/p>\n<ul style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">\n<li>D\u00e9montrons que ce triangle <strong>n&rsquo;est pas<\/strong> rectangle<\/li>\n<\/ul>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">Le c\u00f4t\u00e9 le plus long est [BC] ; si le triangle \u00e9tait rectangle, ce c\u00f4t\u00e9 serait l\u2019hypot\u00e9nuse.<br \/>\nD\u2019une part, on a BC\u00b2 = 12\u00b2 = 144.<br \/>\nD\u2019autre part, on a AC\u00b2 + AB\u00b2 = 9\u00b2 + 6\u00b2 = 81 + 36 = 117.<br \/>\nOn constate que BC\u00b2 <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-1c091d997e66f936737df1f0284817a5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#110;&#101;&#113;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"13\" style=\"vertical-align: -4px;\"\/> AC\u00b2+AB\u00b2.<br \/>\nSi le triangle \u00e9tait rectangle, d\u2019apr\u00e8s le th\u00e9or\u00e8me de Pythagore, on aurait l\u2019\u00e9galit\u00e9 BC\u00b2 = AC\u00b2 + AB\u00b2.<br \/>\nCe n\u2019est pas le cas, donc le triangle ABC n\u2019est pas rectangle.<\/p>\n<h2 id=\"E254\" style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">D\u00e9montrer qu&rsquo;un triangle est rectangle: r\u00e9ciproque de Pythagore<\/h2>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\"><strong>Si<\/strong>, dans un triangle, le carr\u00e9 de la longueur du plus long c\u00f4t\u00e9 est \u00e9gal \u00e0 la somme des carr\u00e9s des longueurs des autres c\u00f4t\u00e9s, <strong>alors<\/strong> ce triangle est rectangle, et le c\u00f4t\u00e9 le plus long est l\u2019hypot\u00e9nuse.<\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-58646\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2020\/07\/triangleabc.jpg\" alt=\"triangle pas rectangle pythagore\" width=\"200\" height=\"219\" \/><\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">On pose AB = 12 cm, AC = 16 cm, BC = 20 cm<\/p>\n<ul style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">\n<li>D\u00e9montrons que ce triangle est rectangle<\/li>\n<\/ul>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">Le c\u00f4t\u00e9 le plus long est [BC] ; si le triangle \u00e9tait rectangle, ce c\u00f4t\u00e9 serait l\u2019hypot\u00e9nuse.<br \/>\n<strong>D\u2019une part<\/strong>, on a BC\u00b2 = 20\u00b2 = 400.<br \/>\n<strong>D\u2019autre part<\/strong>, on a AC\u00b2+AB\u00b2 = 16\u00b2 +12\u00b2 = 256+144 = 400.<br \/>\nOn constate que BC\u00b2 =AC\u00b2+AB\u00b2.<br \/>\nDonc, d\u2019apr\u00e8s la r\u00e9ciproque du th\u00e9or\u00e8me de Pythagore, le triangle ABC est rectangle en A.<\/p>\n\t\t<div data-elementor-type=\"section\" data-elementor-id=\"127774\" class=\"elementor elementor-127774\">\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-5a7b6a2a 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=\"5a7b6a2a\" 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-749af387 ae-bg-gallery-type-default\" data-id=\"749af387\" 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-1b4ed465 elementor-widget elementor-widget-heading\" data-id=\"1b4ed465\" 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 PARTICULIERS EN LIGNE<\/h3>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-16d47760 elementor-widget elementor-widget-heading\" data-id=\"16d47760\" 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\">Nous avons s\u00e9lectionn\u00e9 pour vous 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-21a162bf elementor-widget elementor-widget-heading\" data-id=\"21a162bf\" 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 ACC\u00c9L\u00c9RER MA PROGRESSION<\/h4>\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"elementor-element elementor-element-5600477e elementor-align-left elementor-mobile-align-center elementor-widget elementor-widget-button\" data-id=\"5600477e\" 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-en-ligne\/toutes-matieres\/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 en ligne<\/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-1c7a7876 elementor-widget elementor-widget-text-editor\" data-id=\"1c7a7876\" 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-2aa12288 ae-bg-gallery-type-default\" data-id=\"2aa12288\" 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>&nbsp;<\/p>\n<h2 style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">Les triplets de Pythagore<\/h2>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">Au del\u00e0 de l\u2019application basique du th\u00e9or\u00e8me, il faut savoir que si un triangle poss\u00e8de certaines longueurs \u00ab sp\u00e9ciales \u00bb, alors il est rectangle. Et r\u00e9ciproquement, on peut tout de suite trouver une longueur si on a deux des trois longueurs \u00ab sp\u00e9ciales \u00bb : ce sont les <strong>triplets de Pythagore<\/strong>.<\/p>\n<ul style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">\n<li>1er triplet<\/li>\n<\/ul>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">Un triangle est rectangle lorsqu&rsquo;il est de la forme suivante :<\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-58669\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2020\/07\/triplet-pythagore.jpg\" alt=\"g\u00e9n\u00e9ralisation triplet pythagore\" width=\"318\" height=\"180\" \/><\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">Application pour n = 1 :<\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-58674\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2020\/07\/application-premier-triplet-pythagore.jpg\" alt=\"triplet pythagore exercice\" width=\"266\" height=\"173\" \/>Le triangle est bien rectangle car 4\u00b2 + 3\u00b2 = 5\u00b2<\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">(la d\u00e9monstration est assez simple puisque <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-b18b59d36f9122a84a199562e0a1f9ec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#52;&#110;&#41;&#94;&#50;&#32;&#43;&#32;&#40;&#51;&#110;&#41;&#94;&#50;&#32;&#61;&#32;&#49;&#54;&#110;&#94;&#50;&#32;&#43;&#32;&#57;&#110;&#94;&#50;&#32;&#61;&#32;&#50;&#53;&#110;&#94;&#50;&#32;&#61;&#32;&#40;&#53;&#110;&#41;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"336\" style=\"vertical-align: -5px;\"\/>)<\/p>\n<ul style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">\n<li>\u00a0 2\u00e8me triplet<\/li>\n<\/ul>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">Un triangle est rectangle lorsqu&rsquo;il est de la forme suivante<\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-58681\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2020\/07\/2-eme-triplet-pythagore.jpg\" alt=\"g\u00e9n\u00e9ralisation 2eme triplet pythagore\" width=\"248\" height=\"144\" \/><\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">Application pour n = 1<\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-58688\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2020\/07\/application-2eme-triplet-pythagore.jpg\" alt=\"triplet de pythagore exemple\" width=\"244\" height=\"167\" \/><\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">Le triangle est bien rectangle car 12\u00b2 + 5\u00b2 = 144 + 25 = 169 = 13\u00b2. Et de m\u00eame, <img loading=\"lazy\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/ql-cache\/quicklatex.com-7fce87468895acb08ef294c38e82316c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#40;&#49;&#50;&#110;&#41;&#94;&#50;&#32;&#43;&#32;&#40;&#53;&#110;&#41;&#94;&#50;&#32;&#61;&#32;&#40;&#49;&#51;&#110;&#41;&#94;&#50;\" title=\"Rendered by QuickLaTeX.com\" height=\"20\" width=\"185\" style=\"vertical-align: -5px;\"\/><\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">Ces triplets pr\u00e9sentent une double utilit\u00e9 :<\/p>\n<ul style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">\n<li>Savoir qu\u2019un triangle est rectangle si les longueurs sont ces triplets.<\/li>\n<li>Conna\u00eetre directement la 3\u00e8me longueur d\u2019un triangle rectangle dont les deux premi\u00e8res sont parmi ces triplets.<\/li>\n<\/ul>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">Exemple :<\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-58693\" src=\"https:\/\/groupe-reussite.fr\/ressources\/wp-content\/uploads\/2020\/07\/exemple-triplet-pythagore.jpg\" alt=\"exercice triplet pythagore\" width=\"325\" height=\"177\" \/><\/p>\n<p style=\"color: #000000;font-family: Lato, sans-serif;text-align: justify\">On remarque qu\u2019il s\u2019agit du 3\u00e8me triplet \u00e0 savoir 5 &#8211; 12 &#8211; 13. Le c\u00f4t\u00e9 mesurant 13 \u00e9tant bien l\u2019hypot\u00e9nuse, le c\u00f4t\u00e9 manquant vaut donc 12.<\/p>\n<p style=\"text-align: justify\">D\u00e9couvrez et entra\u00eenez-vous sur d&rsquo;autres chapitres du sous-test 2 du Tage Mage, afin d&rsquo;\u00eatre s\u00fbr d&rsquo;obtenir un excellent score final :<\/p>\n<ul style=\"text-align: justify\">\n<li style=\"text-align: justify\"><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-theoreme-de-thales\/\">Cours sur th\u00e9or\u00e8me de Thal\u00e8s<\/a><\/li>\n<li style=\"text-align: justify\"><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-racines-carrees\/\">Fiche de r\u00e9vision sur les racines carr\u00e9es<\/a><\/li>\n<li style=\"text-align: justify\"><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-fractions\/\">R\u00e9sum\u00e9 de cours sur les fractions<\/a><\/li>\n<li style=\"text-align: justify\"><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-pourcentages\/\">Cours en ligne sur les pourcentages<\/a><\/li>\n<li><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-theoreme-de-thales\/\">Exercices corrig\u00e9s sur le th\u00e9or\u00e8me de Thal\u00e8s<\/a><\/li>\n<li><a href=\"https:\/\/groupe-reussite.fr\/ressources\/cours-en-ligne-exercices-corriges-racines-carrees\/\">Entra\u00eenement sur les racines carr\u00e9s<\/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 Pythagore : cours, exemples, formules et r\u00e9ciproque R\u00e9sum\u00e9 de cours Exercices et corrig\u00e9s Cours en ligne du Tage Mage Le th\u00e9or\u00e8me de Pythagore est le premier th\u00e9or\u00e8me important de g\u00e9om\u00e9trie vu au coll\u00e8ge et doit \u00eatre \u00e0 ce titre maitris\u00e9 par ceux qui pr\u00e9parent le brevet, mais aussi par ceux qui s&rsquo;entrainent [&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 - 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