{"id":23646,"date":"2022-12-10T18:40:39","date_gmt":"2022-12-10T18:40:39","guid":{"rendered":"https:\/\/www.acasinhadamatematica.pt\/?p=23646"},"modified":"2022-12-18T22:35:55","modified_gmt":"2022-12-18T22:35:55","slug":"um-paralelepipedo-retangulo","status":"publish","type":"post","link":"https:\/\/www.acasinhadamatematica.pt\/?p=23646","title":{"rendered":"Um paralelep\u00edpedo ret\u00e2ngulo"},"content":{"rendered":"\n<p><ul id='GTTabs_ul_23646' class='GTTabs' style='display:none'>\n<li id='GTTabs_li_0_23646' class='GTTabs_curr'><a  id=\"23646_0\" onMouseOver=\"GTTabsShowLinks('Enunciado'); return true;\"  onMouseOut=\"GTTabsShowLinks();\"  class='GTTabsLinks'>Enunciado<\/a><\/li>\n<li id='GTTabs_li_1_23646' ><a  id=\"23646_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_23646'>\n<span class='GTTabs_titles'><b>Enunciado<\/b><\/span><\/p>\n<p><a href=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag069-7.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"23647\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=23647\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag069-7.png\" data-orig-size=\"345,339\" 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_Pag069-7\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag069-7.png\" class=\"alignright wp-image-23647\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag069-7-300x295.png\" alt=\"\" width=\"250\" height=\"246\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag069-7-300x295.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag069-7-80x80.png 80w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag069-7.png 345w\" sizes=\"auto, (max-width: 250px) 100vw, 250px\" \/><\/a>Na figura, observas um paralelep\u00edpedo ret\u00e2ngulo.<\/p>\n<p>Qual dos seguintes corresponde a um valor arredondado \u00e0s d\u00e9cimas de \\(\\overline {DF} \\)?<\/p>\n<p><strong>[A]<\/strong> 17,0 cm<br \/><strong>[B]<\/strong> 15,2 cm<br \/><strong>[C]<\/strong> 10,4 cm<br \/><strong>[D]<\/strong> 9,8 cm<\/p>\n<p><div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_next'><a href='#GTTabs_ul_23646' onClick='GTTabs_show(1,23646)'>Resolu\u00e7\u00e3o &gt;&gt;<\/a><\/span><\/div><\/div>\n\n<div class='GTTabs_divs' id='GTTabs_1_23646'>\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_Pag069-7.png\"><img loading=\"lazy\" decoding=\"async\" data-attachment-id=\"23647\" data-permalink=\"https:\/\/www.acasinhadamatematica.pt\/?attachment_id=23647\" data-orig-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag069-7.png\" data-orig-size=\"345,339\" 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_Pag069-7\" data-image-description=\"\" data-image-caption=\"\" data-large-file=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag069-7.png\" class=\"alignright wp-image-23647\" src=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag069-7-300x295.png\" alt=\"\" width=\"250\" height=\"246\" srcset=\"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag069-7-300x295.png 300w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag069-7-80x80.png 80w, https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag069-7.png 345w\" sizes=\"auto, (max-width: 250px) 100vw, 250px\" \/><\/a>Na figura, observas um paralelep\u00edpedo ret\u00e2ngulo.<\/p>\n<p>Qual dos seguintes corresponde a um valor arredondado \u00e0s d\u00e9cimas de \\(\\overline {DF} \\)?<\/p>\n<p><strong>[A]<\/strong> 17,0 cm<br \/><strong>[B]<\/strong> 15,2 cm<br \/><strong>[C]<\/strong> 10,4 cm<br \/><strong>[D]<\/strong> 9,8 cm<\/p>\n<\/blockquote>\n<p>\u00a0<\/p>\n<p>Aplicando, sucessivamente, o Teorema de Pit\u00e1goras, nos tri\u00e2ngulos ret\u00e2ngulos [EHG] e [DFH], temos:<\/p>\n<p>\\[\\overline {HF} = \\sqrt {{{\\overline {HG} }^2} + {{\\overline {GF} }^2}} = \\sqrt {{6^2} + {3^2}} \\]<\/p>\n<p>\\[\\overline {DF} = \\sqrt {{{\\overline {HF} }^2} + {{\\overline {HD} }^2}} = \\sqrt {{{\\left( {\\sqrt {{6^2} + {3^2}} } \\right)}^2} + {8^2}} = \\sqrt {{6^2} + {3^2} + {8^2}} = \\sqrt {36 + 9 + 64} = \\sqrt {109} \\]<\/p>\n<p>Como \\(\\overline {DF} = \\sqrt {109} \\approx 10,4\\) cm, ent\u00e3o a op\u00e7\u00e3o correta \u00e9 <strong>[C]<\/strong> 10,4 cm.<\/p>\n<div class='GTTabsNavigation' style='display:none'><span class='GTTabs_nav_prev'><a href='#GTTabs_ul_23646' onClick='GTTabs_show(0,23646)'>&lt;&lt; Enunciado<\/a><\/span><\/div><\/div>\n\n","protected":false},"excerpt":{"rendered":"<p>Enunciado Resolu\u00e7\u00e3o Enunciado Na figura, observas um paralelep\u00edpedo ret\u00e2ngulo. Qual dos seguintes corresponde a um valor arredondado \u00e0s d\u00e9cimas de \\(\\overline {DF} \\)? [A] 17,0 cm[B] 15,2 cm[C] 10,4 cm[D] 9,8 cm Resolu\u00e7\u00e3o &gt;&gt;&#46;&#46;&#46;<\/p>\n","protected":false},"author":1,"featured_media":23648,"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-23646","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":316,"jetpack_featured_media_url":"https:\/\/www.acasinhadamatematica.pt\/wp-content\/uploads\/2022\/12\/8_Pag069-7_520x245.png","jetpack_sharing_enabled":true,"jetpack_likes_enabled":true,"_links":{"self":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/23646","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=23646"}],"version-history":[{"count":0,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/posts\/23646\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=\/wp\/v2\/media\/23648"}],"wp:attachment":[{"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=23646"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=23646"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=23646"},{"taxonomy":"series","embeddable":true,"href":"https:\/\/www.acasinhadamatematica.pt\/index.php?rest_route=%2Fwp%2Fv2%2Fseries&post=23646"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}