{"id":23526,"date":"2022-12-08T22:54:05","date_gmt":"2022-12-08T22:54:05","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=23526"},"modified":"2022-12-27T23:56:50","modified_gmt":"2022-12-27T23:56:50","slug":"uma-rampa","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=23526","title":{"rendered":"Uma rampa"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_23526' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_23526' class='GTTabs_curr'><a  id=\"23526_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_23526' ><a  id=\"23526_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_23526'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p>A figura representa a vista lateral de uma rampa.<\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag066-12.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"23527\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=23527\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag066-12.png\" data-orig-size=\"495,204\" 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_Pag066-12\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag066-12.png\" class=\"aligncenter wp-image-23527\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag066-12-300x124.png\" alt=\"\" width=\"360\" height=\"148\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag066-12-300x124.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag066-12.png 495w\" sizes=\"auto, (max-width: 360px) 100vw, 360px\" \/><\/a><\/p>\n<ol>\n<li>Qual \u00e9 a \u00e1rea da parte lateral da rampa?<\/li>\n<li>Calcula o comprimento da parte inclinada da rampa.<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_23526' onClick='GTTabs_show(1,23526)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_23526'>\n<span class='GTTabs_titles'><b>Resolu\u00e7\u00e3o<\/b><\/span><!--more--><\/p>\n<blockquote>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag066-12_Letras.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"23529\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=23529\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag066-12_Letras.png\" data-orig-size=\"495,204\" 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_Pag066-12_Letras\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag066-12_Letras.png\" class=\"alignright wp-image-23529\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag066-12_Letras-300x124.png\" alt=\"\" width=\"360\" height=\"148\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag066-12_Letras-300x124.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag066-12_Letras.png 495w\" sizes=\"auto, (max-width: 360px) 100vw, 360px\" \/><\/a>A figura representa a vista lateral de uma rampa.<\/p>\n<ol>\n<li><span style=\"color: initial; font-family: serif;\">Qual \u00e9 a \u00e1rea da parte lateral da rampa?<\/span><\/li>\n<li><span style=\"color: initial; font-family: serif;\">C<\/span>alcula o comprimento da parte inclinada da rampa.<\/li>\n<\/ol>\n<\/blockquote>\n<p>\u00a0<\/p>\n<ol>\n<li>Determinemos a \u00e1rea do trap\u00e9zio ret\u00e2ngulo [ABCD]:<br \/>\\[{A_{\\left[ {ABCD} \\right]}} = \\frac{{\\overline {AB} + \\overline {CD} }}{2} \\times \\overline {BC} = \\frac{{110 + 50}}{2} \\times 25 = 80 \\times 25 = 2000\\]<br \/>A parte lateral da rampa tem 2000 cm<sup>2<\/sup> de \u00e1rea.<br \/><br \/><\/li>\n<li>Por aplica\u00e7\u00e3o do Teorema de Pit\u00e1goras, temos:<br \/>\\[\\overline {AD} = \\sqrt {{{\\left( {\\overline {AB} &#8211; \\overline {CD} } \\right)}^2} + {{\\overline {BC} }^2}} = \\sqrt {{{\\left( {110 &#8211; 50} \\right)}^2} + {{25}^2}} = \\sqrt {3600 + 625} = \\sqrt {4225} = 65\\]<br \/>A parte inclinada da rampa tem 65 cm de comprimento.<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_23526' onClick='GTTabs_show(0,23526)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado A figura representa a vista lateral de uma rampa. Qual \u00e9 a \u00e1rea da parte lateral da rampa? Calcula o comprimento da parte inclinada da rampa. Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/p>\n","protected":false},"author":1,"featured_media":23528,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,682],"tags":[424,67,118],"series":[],"class_list":["post-23526","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-teorema-de-pitagoras"],"views":159,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag066-12_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/23526","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=23526"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/23526\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/23528"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=23526"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=23526"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=23526"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=23526"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}