{"id":4112,"date":"2010-10-18T11:19:58","date_gmt":"2010-10-18T10:19:58","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=4112"},"modified":"2022-01-18T23:19:25","modified_gmt":"2022-01-18T23:19:25","slug":"tres-pares-de-triangulos","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=4112","title":{"rendered":"Tr\u00eas pares de tri\u00e2ngulos"},"content":{"rendered":"<p><ul id='GTTabs_ul_4112' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_4112' class='GTTabs_curr'><a  id=\"4112_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_4112' ><a  id=\"4112_1\" onMouseOver=\"GTTabsShowLinks('Resolu\u00e7\u00e3o'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Resolu\u00e7\u00e3o<\/a><\/li>\n<\/ul>\n\n<div class='GTTabs_divs GTTabs_curr_div' id='GTTabs_0_4112'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Prova que os seguintes pares de tri\u00e2ngulos s\u00e3o geometricamente iguais.<\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/pag94-3.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"4130\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=4130\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/pag94-3.jpg\" data-orig-size=\"485,959\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;HP pstc4380&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;}\" data-image-title=\"Tri\u00e2ngulos\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/pag94-3.jpg\" class=\"aligncenter wp-image-4130\" title=\"Tri\u00e2ngulos\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/pag94-3.jpg\" alt=\"\" width=\"300\" height=\"593\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/pag94-3.jpg 485w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/pag94-3-400x790.jpg 400w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a><\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_4112' onClick='GTTabs_show(1,4112)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_4112'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<ol>\n<li><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/pag94-3.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"4130\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=4130\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/pag94-3.jpg\" data-orig-size=\"485,959\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;HP pstc4380&quot;,&quot;caption&quot;:&quot;&quot;,&quot;created_timestamp&quot;:&quot;0&quot;,&quot;copyright&quot;:&quot;&quot;,&quot;focal_length&quot;:&quot;0&quot;,&quot;iso&quot;:&quot;0&quot;,&quot;shutter_speed&quot;:&quot;0&quot;,&quot;title&quot;:&quot;&quot;}\" data-image-title=\"Tri\u00e2ngulos\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/pag94-3.jpg\" class=\"alignright wp-image-4130\" title=\"Tri\u00e2ngulos\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/pag94-3.jpg\" alt=\"\" width=\"300\" height=\"593\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/pag94-3.jpg 485w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/pag94-3-400x790.jpg 400w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>Ambos os tri\u00e2ngulos possuem:<br \/>\n&#8211; um lado com 9 unidades de comprimento;<br \/>\n&#8211; um lado com 6 unidades de comprimento;<br \/>\n&#8211; um \u00e2ngulo interno com 69\u00ba de amplitude, formado pelos lados acima referidos.<\/p>\n<p>Portanto, os dois tri\u00e2ngulos s\u00e3o geometricamente iguais, pois possuem dois lados geometricamente iguais, cada um a cada um, assim como geometricamente igual o \u00e2ngulo formado por esses lados. [LAL]<br \/>\n\u00ad<\/p>\n<\/li>\n<li>\n<p>Os tri\u00e2ngulos s\u00e3o geometricamente iguais, pois possuem um lado geometricamente igual, assim como geometricamente iguais, cada um a cada um, os \u00e2ngulos adjacentes a esses lados. [ALA]<br \/>\n\u00ad<\/p>\n<\/li>\n<li>\n<p>Os tri\u00e2ngulos s\u00e3o geometricamente iguais, pois possuem os tr\u00eas lados geometricamente iguais, respetivamente cada um a cada um. [LLL]<\/p>\n<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_4112' onClick='GTTabs_show(0,4112)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Prova que os seguintes pares de tri\u00e2ngulos s\u00e3o geometricamente iguais. Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/p>\n","protected":false},"author":1,"featured_media":20619,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,102],"tags":[424,105,67,106],"series":[],"class_list":["post-4112","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-do-espaco-ao-plano","tag-8-o-ano","tag-angulos","tag-geometria","tag-triangulos"],"views":1752,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/10\/7V2Pag094-3_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/4112","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=4112"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/4112\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20619"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=4112"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=4112"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=4112"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=4112"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}