{"id":14231,"date":"2018-04-01T18:35:19","date_gmt":"2018-04-01T17:35:19","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=14231"},"modified":"2022-01-11T11:52:10","modified_gmt":"2022-01-11T11:52:10","slug":"a-area-do-trapezio-isosceles","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=14231","title":{"rendered":"A \u00e1rea do trap\u00e9zio is\u00f3sceles"},"content":{"rendered":"<p><ul id='GTTabs_ul_14231' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_14231' class='GTTabs_curr'><a  id=\"14231_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_14231' ><a  id=\"14231_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_14231'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag62-13.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"14232\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=14232\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag62-13.png\" data-orig-size=\"355,175\" 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=\"Trap\u00e9zio\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag62-13.png\" class=\"alignright size-medium wp-image-14232\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag62-13-300x148.png\" alt=\"\" width=\"300\" height=\"148\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag62-13-300x148.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag62-13.png 355w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>Qual \u00e9 a \u00e1rea, em metros quadrados, do trap\u00e9zio is\u00f3sceles da figura?<br \/>\nApresenta um valor arredondado \u00e0s cent\u00e9simas.<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_14231' onClick='GTTabs_show(1,14231)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_14231'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/2017-18-MF9P2-pag62-13.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"14236\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=14236\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/2017-18-MF9P2-pag62-13.png\" data-orig-size=\"593,202\" 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=\"Trap\u00e9zio is\u00f3sceles\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/2017-18-MF9P2-pag62-13.png\" class=\"alignright wp-image-14236\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/2017-18-MF9P2-pag62-13-300x102.png\" alt=\"\" width=\"460\" height=\"157\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/2017-18-MF9P2-pag62-13-300x102.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/2017-18-MF9P2-pag62-13.png 593w\" sizes=\"auto, (max-width: 460px) 100vw, 460px\" \/><\/a>No tri\u00e2ngulo ret\u00e2ngulo [<em>ADE<\/em>], vem \\({\\mathop{\\rm tg}\\nolimits} A\\widehat DE = \\frac{{\\overline {AE} }}{{\\overline {DE} }}\\), donde:<\/p>\n<p>\\[\\begin{array}{*{20}{l}}{{\\mathop{\\rm tg}\\nolimits} 50^\\circ = \\frac{{\\overline {AE} }}{{35}}}&amp; \\Leftrightarrow &amp;{\\overline {AE} = 35 \\times {\\mathop{\\rm tg}\\nolimits} 50^\\circ }\\end{array}\\]<\/p>\n<p>Logo, a \u00e1rea do trap\u00e9zio \u00e9, aproximadamente, 0,52 m<sup>2<\/sup>:<\/p>\n<p>\\[{A_{\\left[ {ABCD} \\right]}} = \\frac{{\\overline {CD} + \\overline {AB} }}{2} \\times \\overline {AE} = \\frac{{1,6 + 0,9}}{2} \\times 0,35 \\times {\\mathop{\\rm tg}\\nolimits} 50^\\circ \\approx 0,52\\]<\/p><\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_14231' onClick='GTTabs_show(0,14231)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Qual \u00e9 a \u00e1rea, em metros quadrados, do trap\u00e9zio is\u00f3sceles da figura? Apresenta um valor arredondado \u00e0s cent\u00e9simas. Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/p>\n","protected":false},"author":1,"featured_media":14233,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[213,97,489],"tags":[426,491,493,490,492],"series":[],"class_list":["post-14231","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-9--ano","category-aplicando","category-trigonometria-9--ano","tag-9-o-ano","tag-cosseno","tag-razao-trigonometrica","tag-seno","tag-tangente"],"views":2033,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2018\/04\/9V2Pag62-13a.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/14231","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=14231"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/14231\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/14233"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=14231"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=14231"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=14231"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=14231"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}