{"id":4167,"date":"2010-10-18T15:54:22","date_gmt":"2010-10-18T14:54:22","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=4167"},"modified":"2022-01-14T23:03:49","modified_gmt":"2022-01-14T23:03:49","slug":"mais-dois-triangulos","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=4167","title":{"rendered":"Mais dois tri\u00e2ngulos"},"content":{"rendered":"<p><ul id='GTTabs_ul_4167' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_4167' class='GTTabs_curr'><a  id=\"4167_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_4167' ><a  id=\"4167_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_4167'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Considera dois tri\u00e2ngulos [TRI] e [ANG], ret\u00e2ngulos em T e A, respetivamente.<\/p>\n<ol>\n<li>Sabendo apenas que $\\overline{AN}=\\overline{TR}$ e que $\\widehat{I}=\\widehat{G}$, podemos afirmar que os tri\u00e2ngulos s\u00e3o iguais?<\/li>\n<li>E sabendo que $\\overline{AN}=\\overline{TR}$ e $\\overline{TI}=\\overline{AG}$ ? Porqu\u00ea?<\/li>\n<li>E sabendo apenas que $\\widehat{I}=\\widehat{G}$?<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_4167' onClick='GTTabs_show(1,4167)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_4167'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p style=\"text-align: center;\"><script src=\"https:\/\/cdn.geogebra.org\/apps\/deployggb.js\"><\/script>\r\n<div id=\"ggbApplet\" style=\"margin: 0 auto;\"><\/div>\r\n<script>\r\nvar parameters = {\r\n\"id\": \"ggbApplet\",\r\n\"width\":841,\r\n\"height\":400,\r\n\"showMenuBar\":false,\r\n\"showAlgebraInput\":false,\r\n\"showToolBar\":false,\r\n\"customToolBar\":\"0 39 | 1 501 67 , 5 19 , 72 | 2 15 45 , 18 65 , 7 37 | 4 3 8 9 , 13 44 , 58 , 47 | 16 51 64 , 70 | 10 34 53 11 , 24  20 22 , 21 23 | 55 56 57 , 12 | 36 46 , 38 49  50 , 71 | 30 29 54 32 31 33 | 17 26 62 73 , 14 68 | 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is3D=is 3D applet using 3D view, AV=Algebra View, SV=Spreadsheet View, CV=CAS View, EV2=Graphics View 2, CP=Construction Protocol, PC=Probability Calculator, DA=Data Analysis, FI=Function Inspector, PV=Python, macro=Macro View\r\nvar views = {'is3D': 0,'AV': 0,'SV': 0,'CV': 0,'EV2': 0,'CP': 1,'PC': 0,'DA': 0,'FI': 0,'PV': 0,'macro': 0};\r\nvar applet = new GGBApplet(parameters, '5.0', views);\r\nwindow.onload = function() {applet.inject('ggbApplet')};\r\n<\/script><\/p>\n<ol>\n<li>Podemos afirmar que os tri\u00e2ngulos [TRI] e [ANG] s\u00e3o geometricamente iguais, pois verifica-se (ALA):<br \/>\n&#8211; $\\widehat{T}=\\widehat{A}$<br \/>\n&#8211; $\\overline{TR}=\\overline{AN}$<br \/>\n&#8211; $\\widehat{R}=\\widehat{N}$ (Porqu\u00ea?)<br \/>\n\u00ad<\/li>\n<li>Podemos tamb\u00e9m afirmar que os tri\u00e2ngulos [T&#8217;R&#8217;I&#8217;] e [A&#8217;N&#8217;G&#8217;] s\u00e3o geometricamente iguais, pois verifica-se (LAL]:<br \/>\n&#8211; $\\overline{T&#8217;R&#8217;}=\\overline{A&#8217;N&#8217;}$<br \/>\n&#8211; $\\overline{T&#8217;I&#8217;}=\\overline{A&#8217;G&#8217;}$<br \/>\n&#8211;\u00a0$\\widehat{T&#8217;}=\\widehat{A&#8217;}$<br \/>\n\u00ad<\/li>\n<li>N\u00e3o. (Porqu\u00ea?)<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_4167' onClick='GTTabs_show(0,4167)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Considera dois tri\u00e2ngulos [TRI] e [ANG], ret\u00e2ngulos em T e A, respetivamente. Sabendo apenas que $\\overline{AN}=\\overline{TR}$ e que $\\widehat{I}=\\widehat{G}$, podemos afirmar que os tri\u00e2ngulos s\u00e3o iguais? E sabendo que $\\overline{AN}=\\overline{TR}$ e&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":19189,"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-4167","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":2131,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2021\/12\/Mat75.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/4167","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=4167"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/4167\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/19189"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=4167"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=4167"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=4167"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=4167"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}