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{"id":23328,"date":"2022-11-23T20:45:04","date_gmt":"2022-11-23T20:45:04","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=23328"},"modified":"2022-12-04T21:38:40","modified_gmt":"2022-12-04T21:38:40","slug":"tres-triangulos-retangulos","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=23328","title":{"rendered":"Tr\u00eas tri\u00e2ngulos ret\u00e2ngulos"},"content":{"rendered":"\n<p><\/p>\n\n\n\n<p><ul id='GTTabs_ul_23328' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_23328' class='GTTabs_curr'><a  id=\"23328_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_23328' ><a  id=\"23328_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_23328'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>Dos tri\u00e2ngulos ret\u00e2ngulos seguintes, indica aqueles em que o comprimento da hipotenusa \u00e9 um n\u00famero racional e aqueles em que o comprimento da hipotenusa \u00e9 um n\u00famero irracional.<\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag059-T9-1.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"23330\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=23330\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag059-T9-1.png\" data-orig-size=\"1127,310\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&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;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"8_Pag059-T9-1\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag059-T9-1-1024x282.png\" class=\"aligncenter wp-image-23330\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag059-T9-1-300x83.png\" alt=\"\" width=\"640\" height=\"176\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag059-T9-1-300x83.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag059-T9-1-1024x282.png 1024w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag059-T9-1-768x211.png 768w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag059-T9-1.png 1127w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/><\/a><\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_23328' onClick='GTTabs_show(1,23328)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_23328'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag059-T9-1.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"23330\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=23330\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag059-T9-1.png\" data-orig-size=\"1127,310\" data-comments-opened=\"1\" data-image-meta=\"{&quot;aperture&quot;:&quot;0&quot;,&quot;credit&quot;:&quot;&quot;,&quot;camera&quot;:&quot;&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;,&quot;orientation&quot;:&quot;0&quot;}\" data-image-title=\"8_Pag059-T9-1\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag059-T9-1-1024x282.png\" class=\"aligncenter wp-image-23330\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag059-T9-1-300x83.png\" alt=\"\" width=\"640\" height=\"176\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag059-T9-1-300x83.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag059-T9-1-1024x282.png 1024w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag059-T9-1-768x211.png 768w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag059-T9-1.png 1127w\" sizes=\"auto, (max-width: 640px) 100vw, 640px\" \/><\/a><\/p>\n<table style=\"border-collapse: collapse;\">\n<tbody>\n<tr>\n<td>Tri\u00e2ngulo<\/td>\n<td>Comprimento dos catetos<br \/>(cm)<\/td>\n<td>Comprimento da hipotenusa<br \/>(cm)<\/td>\n<td>Comprimento da hipotenusa \u00e9 racional?<\/td>\n<\/tr>\n<tr>\n<td>[ABC]<\/td>\n<td>\\(60\\) e \\(80\\)<\/td>\n<td style=\"text-align: left;\">\\(h = \\sqrt {{{60}^2} + {{80}^2}} = \\sqrt {10\\,000} = 100\\)<\/td>\n<td>Sim<\/td>\n<\/tr>\n<tr>\n<td>[DEF]<\/td>\n<td>\\(5\\) e \\(6\\)<\/td>\n<td style=\"text-align: left;\">\\(h = \\sqrt {{5^2} + {6^2}} = \\sqrt {25 + 36} = \\sqrt {51} \\)<\/td>\n<td>N\u00e3o<\/td>\n<\/tr>\n<tr>\n<td>[GHI]<\/td>\n<td>\\(1,6\\) e \\(1,2\\)<\/td>\n<td style=\"text-align: left;\">\\(h = \\sqrt {{{1,6}^2} + {{1,2}^2}} = \\sqrt {2,56 + 1,44} = \\sqrt 4 = 2\\)<\/td>\n<td>Sim<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<p>\u00a0<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_23328' onClick='GTTabs_show(0,23328)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Dos tri\u00e2ngulos ret\u00e2ngulos seguintes, indica aqueles em que o comprimento da hipotenusa \u00e9 um n\u00famero racional e aqueles em que o comprimento da hipotenusa \u00e9 um n\u00famero irracional. Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":23331,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,682],"tags":[424,67,259,118],"series":[],"class_list":["post-23328","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-teorema-de-pitagoras","tag-8-o-ano","tag-geometria","tag-numeros-irracionais","tag-teorema-de-pitagoras"],"views":232,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/11\/8_Pag059-T9-1_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/23328","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=23328"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/23328\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/23331"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=23328"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=23328"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=23328"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=23328"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}