{"id":6071,"date":"2010-11-26T00:38:49","date_gmt":"2010-11-26T00:38:49","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=6071"},"modified":"2022-01-19T18:32:07","modified_gmt":"2022-01-19T18:32:07","slug":"a-vista-frontal-da-casa","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=6071","title":{"rendered":"A vista frontal da casa"},"content":{"rendered":"<p><ul id='GTTabs_ul_6071' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_6071' class='GTTabs_curr'><a  id=\"6071_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_6071' ><a  id=\"6071_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_6071'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag-31-5.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"6074\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=6074\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag-31-5.jpg\" data-orig-size=\"415,279\" 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=\"Casa\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag-31-5.jpg\" class=\"alignright wp-image-6074\" title=\"Casa\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag-31-5-300x201.jpg\" alt=\"\" width=\"300\" height=\"202\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag-31-5-300x201.jpg 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag-31-5-150x100.jpg 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag-31-5-400x268.jpg 400w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag-31-5.jpg 415w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>Ao lado, desenh\u00e1mos a vista frontal de uma casa.<\/p>\n<p>Calcula:<\/p>\n<ol>\n<li>a altura <em>h<\/em> do telhado;<\/li>\n<li>o comprimento <em>c<\/em>.<\/li>\n<\/ol>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_6071' onClick='GTTabs_show(1,6071)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_6071'>\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\/11\/pag-31-5.jpg\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"6074\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=6074\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag-31-5.jpg\" data-orig-size=\"415,279\" 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=\"Casa\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag-31-5.jpg\" class=\"alignright wp-image-6074\" title=\"Casa\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag-31-5-300x201.jpg\" alt=\"\" width=\"300\" height=\"201\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag-31-5-300x201.jpg 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag-31-5-150x100.jpg 150w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag-31-5-400x268.jpg 400w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/pag-31-5.jpg 415w\" sizes=\"auto, (max-width: 300px) 100vw, 300px\" \/><\/a>Aplicando o Teorema de Pit\u00e1goras no tri\u00e2ngulo ret\u00e2ngulo da esquerda, temos:\n<p>$\\begin{array}{*{35}{l}}<br \/>\n{{4}^{2}}+{{h}^{2}}={{5}^{2}} &amp; \\Leftrightarrow\u00a0 &amp; {{h}^{2}}={{5}^{2}}-{{4}^{2}}\u00a0 \\\\<br \/>\n{} &amp; \\Leftrightarrow\u00a0 &amp; {{h}^{2}}=25-16\u00a0 \\\\<br \/>\n{} &amp; \\Leftrightarrow\u00a0 &amp; {{h}^{2}}=9\u00a0 \\\\<br \/>\n{} &amp; Logo, &amp; h=3\u00a0 \\\\<br \/>\n\\end{array}$<\/p>\n<p>Portanto, $h=3\\,m$.<\/p>\n<\/li>\n<li>Considerando que\u00a0\u00a0$h=3\\,m$ e aplicando o Teorema de Pit\u00e1goras no tri\u00e2ngulo ret\u00e2ngulo da direita, temos:\n<p>$\\begin{array}{*{35}{l}}<br \/>\n{{3}^{2}}+{{6}^{2}}={{c}^{2}} &amp; \\Leftrightarrow\u00a0 &amp; {{c}^{2}}=36+9\u00a0 \\\\<br \/>\n{} &amp; \\Leftrightarrow\u00a0 &amp; {{c}^{2}}=45\u00a0 \\\\<br \/>\n{} &amp; Logo, &amp; c=\\sqrt{45}\u00a0 \\\\<br \/>\n\\end{array}$<\/p>\n<p>Portanto, $c=\\sqrt{45}\\simeq 6,7\\,m$.<\/p>\n<\/li>\n<\/ol>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_6071' onClick='GTTabs_show(0,6071)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Ao lado, desenh\u00e1mos a vista frontal de uma casa. Calcula: a altura h do telhado; o comprimento c. Resolu\u00e7\u00e3o &gt;&gt; Resolu\u00e7\u00e3o &lt;&lt; Enunciado<\/p>\n","protected":false},"author":1,"featured_media":20668,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_jetpack_memberships_contains_paid_content":false,"footnotes":""},"categories":[100,97,112],"tags":[424,67,118],"series":[],"class_list":["post-6071","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-8--ano","category-aplicando","category-decomposicao-de-figuras-teorema-de-pitagoras","tag-8-o-ano","tag-geometria","tag-teorema-de-pitagoras"],"views":3237,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2010\/11\/8V1Pag031-5_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/6071","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=6071"}],"version-history":[{"count":1,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/6071\/revisions"}],"predecessor-version":[{"id":23295,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/6071\/revisions\/23295"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/20668"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=6071"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=6071"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=6071"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=6071"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}