Points importants du cours :
– Le th\u00e9or\u00e8me de Pythagore stipule que dans un triangle rectangle, le carr\u00e9 de la longueur de l’hypot\u00e9nuse (le c\u00f4t\u00e9 oppos\u00e9 \u00e0 l’angle droit) est \u00e9gal \u00e0 la somme des carr\u00e9s des longueurs des deux autres c\u00f4t\u00e9s.
– C’est indiqu\u00e9 par l’\u00e9quation a\u00b2 b\u00b2 = c\u00b2.<\/p>\n
Consignes pour l’exercice :
Dans cet exercice, vous allez remplir les blancs pour compl\u00e9ter les \u00e9quations bas\u00e9es sur le th\u00e9or\u00e8me de Pythagore. Utilisez vos connaissances en math\u00e9matiques et votre logique pour trouver les valeurs manquantes.<\/p>\n
Exercice :<\/p>\n
1. Dans un triangle rectangle, si la longueur d’un c\u00f4t\u00e9 est 9 cm et celle de l’autre c\u00f4t\u00e9 est ____ cm ; l’hypot\u00e9nuse mesure alors 15 cm.
2. Si j’ai une hypot\u00e9nuse qui mesure 17 cm et que j’ai d\u00e9j\u00e0 calcul\u00e9 qu’un autre c\u00f4t\u00e9 mesure ____ cm ; alors le dernier c\u00f4t\u00e9 fait une longueur de 8cm.
3. La somme des carr\u00e9s des c\u00f4t\u00e9s valant respectivement ____cm et 6cm \u00e9gale au carr\u00e9 da la longueur de l’hypotenuse soit (10)^2.
4. Supposons que dans un cas particulier, mon hypot\u00e9nuse mesure _____cm lorsque mes deux autres c\u00f4t\u00e9s mesurent respectivement 5cm chacun.<\/p>\n
R\u00e9ponses :<\/p>\n
1.12
2.15
3.8
4.7<\/p>\n
Adaptation aux \u00e9l\u00e8ves : Cet exercice aide non seulement \u00e0 comprendre davantage le th\u00e9or\u00e8me de Pythagore, mais aussi \u00e0 renforcer les aptitudes en alg\u00e8bre chez nos \u00e9l\u00e8ves en trouvant les valeurs manquantes dans une \u00e9quation quadrique.<\/p>\n","protected":false},"excerpt":{"rendered":"
Points importants du cours : – Le th\u00e9or\u00e8me de Pythagore stipule que dans un triangle rectangle, le carr\u00e9 de la longueur de l’hypot\u00e9nuse (le c\u00f4t\u00e9 oppos\u00e9 \u00e0 l’angle droit) est \u00e9gal \u00e0 la somme des carr\u00e9s des longueurs des deux autres c\u00f4t\u00e9s. – C’est indiqu\u00e9 par l’\u00e9quation a\u00b2 b\u00b2 = c\u00b2. Consignes pour l’exercice :Dans […]<\/p>\n","protected":false},"author":5,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_seopress_titles_title":"","_seopress_titles_desc":"","_seopress_robots_index":"","_seopress_robots_follow":"","_seopress_robots_imageindex":"","_seopress_robots_snippet":"","_seopress_robots_primary_cat":"","_seopress_robots_breadcrumbs":"","_seopress_robots_freeze_modified_date":"","_seopress_robots_custom_modified_date":"","_seopress_robots_canonical":"","_seopress_social_fb_title":"","_seopress_social_fb_desc":"","_seopress_social_fb_img":"","_seopress_social_fb_img_attachment_id":0,"_seopress_social_fb_img_width":0,"_seopress_social_fb_img_height":0,"_seopress_social_twitter_title":"","_seopress_social_twitter_desc":"","_seopress_social_twitter_img":"","_seopress_social_twitter_img_attachment_id":0,"_seopress_social_twitter_img_width":0,"_seopress_social_twitter_img_height":0,"_seopress_redirections_value":"","_seopress_redirections_enabled":"","_seopress_redirections_enabled_regex":"","_seopress_redirections_logged_status":"","_seopress_redirections_param":"","_seopress_redirections_type":0,"_seopress_analysis_target_kw":"","_seopress_news_disabled":"","_seopress_video_disabled":"","_seopress_video":[],"_seopress_pro_schemas_manual":[],"_seopress_pro_rich_snippets_disable_all":"","_seopress_pro_rich_snippets_disable":[],"_seopress_pro_schemas":[],"_et_pb_use_builder":"","_et_pb_old_content":"","_et_gb_content_width":"","footnotes":""},"categories":[7,5,4,53,318,1],"tags":[],"class_list":["post-8542","post","type-post","status-publish","format-standard","hentry","category-mathematiques","category-niveaux","category-matieres","category-3eme","category-pas-dadaptation-particuliere","category-exercices-pedagogiques-imprimables-et-gratuits"],"_links":{"self":[{"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/posts\/8542","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/users\/5"}],"replies":[{"embeddable":true,"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/comments?post=8542"}],"version-history":[{"count":0,"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/posts\/8542\/revisions"}],"wp:attachment":[{"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/media?parent=8542"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/categories?post=8542"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exos.education\/fr\/wp-json\/wp\/v2\/tags?post=8542"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}