{"id":523,"date":"2015-11-13T11:09:08","date_gmt":"2015-11-13T16:09:08","guid":{"rendered":"http:\/\/pascal-tic.org\/math\/?page_id=523"},"modified":"2020-01-21T09:04:37","modified_gmt":"2020-01-21T14:04:37","slug":"cas-de-similitude-des-triangles","status":"publish","type":"page","link":"https:\/\/pascal-tic.org\/math\/cas-de-similitude-des-triangles\/","title":{"rendered":"Conditions minimales de similitude des triangles"},"content":{"rendered":"<section class=\"l-section wpb_row height_medium\"><div class=\"l-section-h i-cf\"><div class=\"g-cols vc_row via_flex valign_top type_default\"><div class=\"vc_col-sm-12 wpb_column vc_column_container\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><div class=\"w-tabs layout_hor style_timeline switch_click has_scrolling\" style=\"--sections-title-size:1em\"><div class=\"w-tabs-list items_3 align_justify\"><div class=\"w-tabs-list-h\"><a class=\"w-tabs-item active\" aria-controls=\"content-s9e9\" href=\"javascript:void(0);\"><span class=\"w-tabs-item-title\">CCC<\/span><\/a><a class=\"w-tabs-item\" aria-controls=\"content-r3fc\" href=\"javascript:void(0);\"><span class=\"w-tabs-item-title\">AA<\/span><\/a><a class=\"w-tabs-item\" aria-controls=\"content-md46\" href=\"javascript:void(0);\"><span class=\"w-tabs-item-title\">CAC<\/span><\/a><\/div><\/div><div class=\"w-tabs-sections titles-align_none icon_chevron cpos_right\"><div class=\"w-tabs-section active\" id=\"s9e9\"><button aria-controls=\"content-s9e9\" class=\"w-tabs-section-header active\"><div class=\"w-tabs-section-title\">CCC<\/div><div class=\"w-tabs-section-control\"><\/div><\/button><div  class=\"w-tabs-section-content\" id=\"content-s9e9\" aria-expanded=\"true\"><div class=\"w-tabs-section-content-h i-cf\"><div class=\"wpb_text_column\"><div class=\"wpb_wrapper\"><p>Deux triangles sont semblables lorsque les longueurs de leurs c\u00f4t\u00e9s homologues sont proportionnelles. (CCC)<\/p>\n<\/div><\/div><div class=\"g-cols wpb_row via_flex valign_top type_default\"><div class=\"vc_col-sm-4 wpb_column vc_column_container\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><div class=\"w-image align_center us_animate_afl\"><div class=\"w-image-h\"><img loading=\"lazy\" decoding=\"async\" width=\"367\" height=\"240\" src=\"https:\/\/pascal-tic.org\/math\/wp-content\/uploads\/2015\/11\/SimilitudeCCC-texte2.png\" class=\"attachment-full size-full\" alt=\"\" srcset=\"https:\/\/pascal-tic.org\/math\/wp-content\/uploads\/2015\/11\/SimilitudeCCC-texte2.png 367w, https:\/\/pascal-tic.org\/math\/wp-content\/uploads\/2015\/11\/SimilitudeCCC-texte2-300x196.png 300w\" sizes=\"auto, (max-width: 367px) 100vw, 367px\" \/><\/div><\/div><\/div><\/div><\/div><div class=\"vc_col-sm-8 wpb_column vc_column_container\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><div class=\"w-image align_center us_animate_afr\"><a href=\"https:\/\/pascal-tic.org\/math\/wp-content\/uploads\/2015\/11\/SimilitudeCCC1-21.png\" ref=\"magnificPopup\" aria-label=\"Lien\" class=\"w-image-h\"><img loading=\"lazy\" decoding=\"async\" width=\"687\" height=\"313\" src=\"https:\/\/pascal-tic.org\/math\/wp-content\/uploads\/2015\/11\/SimilitudeCCC1-21.png\" class=\"attachment-full size-full\" alt=\"\" srcset=\"https:\/\/pascal-tic.org\/math\/wp-content\/uploads\/2015\/11\/SimilitudeCCC1-21.png 687w, https:\/\/pascal-tic.org\/math\/wp-content\/uploads\/2015\/11\/SimilitudeCCC1-21-300x137.png 300w, https:\/\/pascal-tic.org\/math\/wp-content\/uploads\/2015\/11\/SimilitudeCCC1-21-600x273.png 600w\" sizes=\"auto, (max-width: 687px) 100vw, 687px\" \/><\/a><\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><div class=\"w-tabs-section\" id=\"r3fc\"><button aria-controls=\"content-r3fc\" class=\"w-tabs-section-header\"><div class=\"w-tabs-section-title\">AA<\/div><div class=\"w-tabs-section-control\"><\/div><\/button><div  class=\"w-tabs-section-content\" id=\"content-r3fc\" aria-expanded=\"false\"><div class=\"w-tabs-section-content-h i-cf\"><div class=\"wpb_text_column\"><div class=\"wpb_wrapper\"><p>Deux triangles sont semblables lorsqu&rsquo;ils ont deux angles homologues isom\u00e9triques. (AA)<\/p>\n<\/div><\/div><div class=\"g-cols wpb_row via_flex valign_top type_default\"><div class=\"vc_col-sm-8 wpb_column vc_column_container\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><div class=\"wpb_text_column\"><div class=\"wpb_wrapper\"><p><strong>\u2206MPN ~ \u2206RQS<\/strong>, car<\/p>\n<ol>\n<li>m\u2220M = m\u2220R = 60\u00b0<\/li>\n<li>m\u2220P = m\u2220Q = 35\u00b0<\/li>\n<\/ol>\n<p>La condition AA est v\u00e9rifi\u00e9e!<\/p>\n<\/div><\/div><div class=\"w-image align_none\"><div class=\"w-image-h\"><img loading=\"lazy\" decoding=\"async\" width=\"675\" height=\"292\" src=\"https:\/\/pascal-tic.org\/math\/wp-content\/uploads\/2015\/11\/SimilitudeAA.png\" class=\"attachment-full size-full\" alt=\"\" srcset=\"https:\/\/pascal-tic.org\/math\/wp-content\/uploads\/2015\/11\/SimilitudeAA.png 675w, https:\/\/pascal-tic.org\/math\/wp-content\/uploads\/2015\/11\/SimilitudeAA-300x130.png 300w, https:\/\/pascal-tic.org\/math\/wp-content\/uploads\/2015\/11\/SimilitudeAA-600x260.png 600w\" sizes=\"auto, (max-width: 675px) 100vw, 675px\" \/><\/div><\/div><\/div><\/div><\/div><div class=\"vc_col-sm-4 wpb_column vc_column_container has_bg_color\"><div class=\"vc_column-inner us_custom_f58e92c2\"><div class=\"wpb_wrapper\"><div class=\"wpb_text_column\"><div class=\"wpb_wrapper\"><p><strong>Attention!<\/strong> Puisque la somme des mesures des angles int\u00e9rieurs d&rsquo;une triangle est 180\u00b0, il n&rsquo;est pas n\u00e9cessaire de conna\u00eetre les trois angles.<\/p>\n<\/div><\/div><div class=\"w-separator size_custom\" style=\"height:32px\"><\/div><div class=\"wpb_text_column\"><div class=\"wpb_wrapper\"><p>Ainsi le \u2206TUW est semblable aux deux autres.<\/p>\n<\/div><\/div><div class=\"w-image align_center us_animate_afr\"><div class=\"w-image-h\"><img loading=\"lazy\" decoding=\"async\" width=\"222\" height=\"158\" src=\"https:\/\/pascal-tic.org\/math\/wp-content\/uploads\/2015\/11\/SimilitudeAA-22.png\" class=\"attachment-full size-full\" alt=\"\" \/><\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><div class=\"w-tabs-section\" id=\"md46\"><button aria-controls=\"content-md46\" class=\"w-tabs-section-header\"><div class=\"w-tabs-section-title\">CAC<\/div><div class=\"w-tabs-section-control\"><\/div><\/button><div  class=\"w-tabs-section-content\" id=\"content-md46\" aria-expanded=\"false\"><div class=\"w-tabs-section-content-h i-cf\"><div class=\"wpb_text_column\"><div class=\"wpb_wrapper\"><p>Deux triangles sont semblables lorsqu&rsquo;ils ont un angle de m\u00eame mesure compris entre deux c\u00f4t\u00e9s dont les mesures sont proportionnelles. (CAC)<\/p>\n<\/div><\/div><div class=\"g-cols wpb_row via_flex valign_top type_default\"><div class=\"vc_col-sm-4 wpb_column vc_column_container\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><div class=\"w-image align_center us_animate_afl\"><div class=\"w-image-h\"><img loading=\"lazy\" decoding=\"async\" width=\"290\" height=\"537\" src=\"https:\/\/pascal-tic.org\/math\/wp-content\/uploads\/2015\/11\/SimilitudeCAC-2.png\" class=\"attachment-full size-full\" alt=\"\" srcset=\"https:\/\/pascal-tic.org\/math\/wp-content\/uploads\/2015\/11\/SimilitudeCAC-2.png 290w, https:\/\/pascal-tic.org\/math\/wp-content\/uploads\/2015\/11\/SimilitudeCAC-2-162x300.png 162w\" sizes=\"auto, (max-width: 290px) 100vw, 290px\" \/><\/div><\/div><\/div><\/div><\/div><div class=\"vc_col-sm-4 wpb_column vc_column_container\"><div class=\"vc_column-inner\"><div class=\"wpb_wrapper\"><div class=\"w-image align_center us_animate_afl\"><div class=\"w-image-h\"><img loading=\"lazy\" decoding=\"async\" width=\"361\" height=\"215\" src=\"https:\/\/pascal-tic.org\/math\/wp-content\/uploads\/2015\/11\/SimilitudeCAC-texte.png\" class=\"attachment-full size-full\" alt=\"\" srcset=\"https:\/\/pascal-tic.org\/math\/wp-content\/uploads\/2015\/11\/SimilitudeCAC-texte.png 361w, https:\/\/pascal-tic.org\/math\/wp-content\/uploads\/2015\/11\/SimilitudeCAC-texte-300x179.png 300w\" sizes=\"auto, (max-width: 361px) 100vw, 361px\" \/><\/div><\/div><\/div><\/div><\/div><div class=\"vc_col-sm-4 wpb_column vc_column_container has_bg_color\"><div class=\"vc_column-inner us_custom_6d1e7e29\"><div class=\"wpb_wrapper\"><div class=\"wpb_text_column\"><div class=\"wpb_wrapper\"><p><strong>Attention!<\/strong> Le triangle KLM n\u2019est pas isom\u00e9trique au triangle ABC, car l&rsquo;angle de 35\u00b0 n\u2019est pas compris entre les c\u00f4t\u00e9s de 6 cm et de 6,75 cm.<\/p>\n<\/div><\/div><div class=\"w-separator size_custom\" style=\"height:32px\"><\/div><div class=\"w-image align_center us_animate_afl\"><div class=\"w-image-h\"><img loading=\"lazy\" decoding=\"async\" width=\"235\" height=\"321\" src=\"https:\/\/pascal-tic.org\/math\/wp-content\/uploads\/2015\/11\/SimilitudeCAC-31.png\" class=\"attachment-full size-full\" alt=\"\" srcset=\"https:\/\/pascal-tic.org\/math\/wp-content\/uploads\/2015\/11\/SimilitudeCAC-31.png 235w, https:\/\/pascal-tic.org\/math\/wp-content\/uploads\/2015\/11\/SimilitudeCAC-31-220x300.png 220w\" sizes=\"auto, (max-width: 235px) 100vw, 235px\" \/><\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/div><\/section>\n","protected":false},"excerpt":{"rendered":"CCCAACACCCCDeux triangles sont semblables lorsque les longueurs de leurs c\u00f4t\u00e9s homologues sont proportionnelles. (CCC) AADeux triangles sont semblables lorsqu&rsquo;ils ont deux angles homologues isom\u00e9triques. (AA) \u2206MPN ~ \u2206RQS, car m\u2220M = m\u2220R = 60\u00b0 m\u2220P = m\u2220Q = 35\u00b0 La condition AA est v\u00e9rifi\u00e9e! Attention! Puisque la somme des mesures des angles int\u00e9rieurs d&rsquo;une triangle...","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-523","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/pascal-tic.org\/math\/wp-json\/wp\/v2\/pages\/523","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pascal-tic.org\/math\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/pascal-tic.org\/math\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/pascal-tic.org\/math\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/pascal-tic.org\/math\/wp-json\/wp\/v2\/comments?post=523"}],"version-history":[{"count":20,"href":"https:\/\/pascal-tic.org\/math\/wp-json\/wp\/v2\/pages\/523\/revisions"}],"predecessor-version":[{"id":2152,"href":"https:\/\/pascal-tic.org\/math\/wp-json\/wp\/v2\/pages\/523\/revisions\/2152"}],"wp:attachment":[{"href":"https:\/\/pascal-tic.org\/math\/wp-json\/wp\/v2\/media?parent=523"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}