tag:blogger.com,1999:blog-3968536235784171502024-03-12T19:39:44.602-07:00MatematikaKali ini saya membahas tentang Trapasium, macam-macam trapesium dan rumus yang sering di gunakan dalam bangun trapesium.Anonymoushttp://www.blogger.com/profile/10460827355037024270noreply@blogger.comBlogger1125tag:blogger.com,1999:blog-396853623578417150.post-29622738843808674942012-06-06T22:07:00.001-07:002012-06-06T22:07:40.665-07:00Macam-macam Trapesium<link href="file:///C:%5CUsers%5CWINDOW%7E1%5CAppData%5CLocal%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_filelist.xml" rel="File-List"></link><link href="file:///C:%5CUsers%5CWINDOW%7E1%5CAppData%5CLocal%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_editdata.mso" rel="Edit-Time-Data"></link><link href="file:///C:%5CUsers%5CWINDOW%7E1%5CAppData%5CLocal%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_themedata.thmx" rel="themeData"></link><link href="file:///C:%5CUsers%5CWINDOW%7E1%5CAppData%5CLocal%5CTemp%5Cmsohtmlclip1%5C01%5Cclip_colorschememapping.xml" rel="colorSchemeMapping"></link>
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<div class="separator" style="clear: both; text-align: center;">
<a href="http://2.bp.blogspot.com/-qP4zp2h2D88/T9AxpMKgIII/AAAAAAAAAAc/tJIWPpkzjLw/s1600/G.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="98" src="http://2.bp.blogspot.com/-qP4zp2h2D88/T9AxpMKgIII/AAAAAAAAAAc/tJIWPpkzjLw/s200/G.jpg" width="200" /></a></div>
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<div class="MsoNormal" style="margin: 0cm 0cm 6pt 21.3pt; text-align: justify; text-indent: -21.3pt;">
<span lang="EN-US" style="font-size: 12pt; line-height: 150%;">A.<span style="font: 7pt "Times New Roman";">
</span></span><span lang="EN-US" style="font-size: 12pt; line-height: 150%;">Bentuk Trapesium<o:p></o:p></span></div>
<div class="MsoNormal" style="margin: 0cm 0cm 6pt 21.3pt; text-align: justify;">
<span lang="EN-US" style="font-size: 12pt; line-height: 150%;">Trapesium adalah bangun segi empat yang mempunyai sepasang
sisi yang berhadapan sejajar, Ada 3 jenis trapezium yaitu trapezium sama kaki,
trapezium siku-siku, dan trapezium sembarang.</span><span style="font-size: 12pt; line-height: 150%;"><o:p></o:p></span></div>
<div class="MsoNormal" style="margin: 0cm 0cm 6pt 21.3pt; text-align: justify;">
<span lang="EN-US" style="font-size: 12pt; line-height: 150%;">1). </span><span style="font-size: 12pt; line-height: 150%;"> </span><span lang="EN-US" style="font-size: 12pt; line-height: 150%;">Trapesium Sama Kaki<o:p></o:p></span></div>
<div class="MsoNormal" style="margin: 0cm 0cm 6pt 21.3pt; text-align: justify; text-indent: 21.25pt;">
<span lang="EN-US" style="font-size: 12pt; line-height: 150%;">Pada trapezium sama kaki, selain
memiliki sepasang sisi yang sejajar, juga memiliki sepasang sisi yang sama
panjang, Pada gambar di bawah ini.</span><br />
<table cellpadding="0" cellspacing="0" class="tr-caption-container" style="float: left; margin-right: 1em; text-align: left;"><tbody>
<tr><td style="text-align: center;"><a href="http://3.bp.blogspot.com/-tIht7PcMgt4/T9AyZLV8RRI/AAAAAAAAAAk/JlgZzjSB3WY/s1600/A.jpg" imageanchor="1" style="clear: left; margin-bottom: 1em; margin-left: auto; margin-right: auto;"><img border="0" src="http://3.bp.blogspot.com/-tIht7PcMgt4/T9AyZLV8RRI/AAAAAAAAAAk/JlgZzjSB3WY/s1600/A.jpg" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Gambar 1).</td></tr>
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<span lang="EN-US" style="font-size: 12pt; line-height: 150%;"><o:p></o:p></span><span lang="EN-US" style="font-size: 12pt; line-height: 150%;">Merupakan trapezium sama kaki, dimana panjang <b>AD</b> sama dengan panjang <b>BC.</b><o:p></o:p></span></div>
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<span lang="EN-US" style="font-size: 12pt; line-height: 150%;">Trapesium sama kaki mempunyai cirri-ciri khusus, yaitu<o:p></o:p></span></div>
<div class="MsoNormal" style="margin: 0cm 0cm 6pt 54pt; text-align: justify; text-indent: -18pt;">
<span lang="EN-US" style="font-size: 12pt; line-height: 150%;"> a.<span style="font: 7pt "Times New Roman";"> </span></span><span lang="EN-US" style="font-size: 12pt; line-height: 150%;">Diagonal-diagonalnya sama
panjang,<o:p></o:p></span></div>
<div class="MsoNormal" style="margin: 0cm 0cm 6pt 54pt; text-align: justify; text-indent: -18pt;">
<span lang="EN-US" style="font-size: 12pt; line-height: 150%;"> b.<span style="font: 7pt "Times New Roman";"> </span></span><span lang="EN-US" style="font-size: 12pt; line-height: 150%;">Sudut-sudut alasnya sama
besar,<o:p></o:p></span></div>
<div class="MsoNormal" style="margin: 0cm 0cm 6pt 54pt; text-align: justify; text-indent: -18pt;">
<span lang="EN-US" style="font-size: 12pt; line-height: 150%;"> c.<span style="font: 7pt "Times New Roman";"> </span></span><span lang="EN-US" style="font-size: 12pt; line-height: 150%;">Dapat memenpati bingkainya
dengan dua cara.<o:p></o:p></span></div>
<div class="MsoNormal" style="margin: 0cm 0cm 6pt 21.3pt; text-align: justify;">
<span lang="EN-US" style="font-size: 12pt; line-height: 150%;">2). </span><span style="font-size: 12pt; line-height: 150%;"> </span><span lang="EN-US" style="font-size: 12pt; line-height: 150%;">Trapesium Siku-Siku<o:p></o:p></span></div>
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<span lang="EN-US" style="font-size: 12pt; line-height: 150%;"> Pada
trapezium siku-siku, selain memiliki sepasang sisi yang sejajar, juga memiliki
satu buah sudut siku-siku. Pada gambar di bawah ini.</span><br />
<table cellpadding="0" cellspacing="0" class="tr-caption-container" style="float: left; margin-right: 1em; text-align: left;"><tbody>
<tr><td style="text-align: center;"><a href="http://4.bp.blogspot.com/-RRjLznViQw0/T9AyzRrH-2I/AAAAAAAAAAs/UYFWO_jBSWs/s1600/B.jpg" imageanchor="1" style="clear: left; margin-bottom: 1em; margin-left: auto; margin-right: auto;"><img alt="" border="0" height="150" src="http://4.bp.blogspot.com/-RRjLznViQw0/T9AyzRrH-2I/AAAAAAAAAAs/UYFWO_jBSWs/s200/B.jpg" title="gambar 2" width="200" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Gambar 2).</td></tr>
</tbody></table>
<br />
<br />
<span lang="EN-US" style="font-size: 12pt; line-height: 150%;">Merupakan trapesium
siku-siku, dimana </span><span style="font-size: 12pt; line-height: 150%;"> </span><b><span lang="EN-US" style="font-size: 12pt; line-height: 150%;">A</span></b><b><span lang="EN-US" style="font-size: 12pt; line-height: 150%;"> </span></b><b><span lang="EN-US" style="font-size: 12pt; line-height: 150%;">=</span></b><b><span lang="EN-US" style="font-size: 12pt; line-height: 150%;"> </span></b><b><span lang="EN-US" style="font-size: 12pt; line-height: 150%;">90</span></b><b><span lang="EN-US" style="font-size: 12pt; line-height: 150%;">°</span></b><span lang="EN-US" style="font-size: 12pt; line-height: 150%;"> sifat trapesium siku-siku
yaitu, salah satu kakinya tegak lurus terhadap sisi sejajarnya.</span><br />
<br />
<br />
<br />
<br />
<span lang="EN-US" style="font-size: 12pt; line-height: 150%;">3). Trapesium Sembarang<o:p></o:p></span></div>
<div class="MsoNormal" style="margin: 0cm 0cm 6pt 21.3pt; text-align: justify; text-indent: 7.05pt;">
<span lang="EN-US" style="font-size: 12pt; line-height: 150%;"> Pada
trapesium sembarang, sisinya tidak sama panjang dan tidak ada yang tegak lurus
dengan sisi sejajarnyanya. Pada gambar dibawah merupakan trapesium sembarang. </span><span style="font-size: 12pt; line-height: 150%;"><o:p></o:p></span></div>
<div class="MsoNormal" style="margin: 0cm 0cm 6pt 21.3pt; text-align: justify; text-indent: 7.05pt;">
<table cellpadding="0" cellspacing="0" class="tr-caption-container" style="float: left; margin-right: 1em; text-align: left;"><tbody>
<tr><td style="text-align: center;"><a href="http://4.bp.blogspot.com/-Yfu49aUf4Kc/T9A0oLi0UpI/AAAAAAAAAA8/m5jgxC0PU-E/s1600/C.jpg" imageanchor="1" style="clear: left; margin-bottom: 1em; margin-left: auto; margin-right: auto;"><img border="0" src="http://4.bp.blogspot.com/-Yfu49aUf4Kc/T9A0oLi0UpI/AAAAAAAAAA8/m5jgxC0PU-E/s1600/C.jpg" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Gambar 3).</td></tr>
</tbody></table>
<br />
<br />
<span lang="EN-US" style="font-size: 12pt; line-height: 150%;">Di mana AD,AB,BC, dan CD tidak sama
panjang. Perhatikan gambar di bawah !<o:p></o:p></span></div>
<div class="MsoNormal" style="margin: 0cm 0cm 6pt 36pt; text-align: justify;">
<a href="http://3.bp.blogspot.com/-T5PMeIjQuvQ/T9A0u0QiZeI/AAAAAAAAABE/yhlErWAToSo/s1600/D.jpg" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" src="http://3.bp.blogspot.com/-T5PMeIjQuvQ/T9A0u0QiZeI/AAAAAAAAABE/yhlErWAToSo/s1600/D.jpg" /></a><span lang="EN-US" style="font-size: 12pt; line-height: 150%;"> </span><br />
<br />
<br />
<br />
<br />
<br />
<span lang="EN-US" style="font-size: 12pt; line-height: 150%;">B.<span style="font: 7pt "Times New Roman";">
</span></span><span lang="EN-US" style="font-size: 12pt; line-height: 150%;">Sifat-sifat Trapesium secara umum yaitu :<o:p></o:p></span></div>
<div class="MsoNormal" style="margin: 0cm 0cm 6pt 54pt; text-align: justify; text-indent: -18pt;">
<span lang="EN-US" style="font-size: 12pt; line-height: 150%;">a.<span style="font: 7pt "Times New Roman";"> </span></span><span lang="EN-US" style="font-size: 12pt; line-height: 150%;">Sisi <b>KL/MN</b>, jadi trapesium memiliki sepasang sisi sejajar.<o:p></o:p></span><b><span lang="EN-US" style="font-size: 12pt; line-height: 150%;"> </span></b><br />
<b><span lang="EN-US" style="font-size: 12pt; line-height: 150%;"> b.<span style="font: 7pt "Times New Roman";"> </span></span></b><span style="height: 11px; left: 0px; margin-left: 284px; margin-top: 5px; position: absolute; width: 13px; z-index: 5;"></span><span style="height: 11px; left: 0px; margin-left: 243px; margin-top: 5px; position: absolute; width: 14px; z-index: 4;"></span><span style="height: 11px; left: 0px; margin-left: 147px; margin-top: 4px; position: absolute; width: 13px; z-index: 3;"></span><span style="height: 11px; left: 0px; margin-left: 107px; margin-top: 5px; position: absolute; width: 13px; z-index: 2;"></span><span lang="EN-US" style="font-size: 12pt; line-height: 150%;">Besar </span><span lang="EN-US" style="font-size: 12pt; line-height: 150%;"> </span><b><span lang="EN-US" style="font-size: 12pt; line-height: 150%;">K</span></b><b><span style="font-size: 12pt; line-height: 150%;"> </span></b><b><span lang="EN-US" style="font-size: 12pt; line-height: 150%;">+ </span></b><b><span lang="EN-US" style="font-size: 12pt; line-height: 150%;"> </span></b><b><span style="font-size: 12pt; line-height: 150%;"> </span></b><b><span lang="EN-US" style="font-size: 12pt; line-height: 150%;">N=180</span></b><b><span style="font-size: 12pt; line-height: 150%;"> °</span></b><b><span lang="EN-US" style="font-size: 12pt; line-height: 150%;"> dan</span></b><b><span lang="EN-US" style="font-size: 12pt; line-height: 150%;"> </span></b><b><span lang="EN-US" style="font-size: 12pt; line-height: 150%;"> </span></b><b><span lang="EN-US" style="font-size: 12pt; line-height: 150%;"> </span></b><b><span lang="EN-US" style="font-size: 12pt; line-height: 150%;"> L</span></b><b><span style="font-size: 12pt; line-height: 150%;"> </span></b><b><span lang="EN-US" style="font-size: 12pt; line-height: 150%;">+ </span></b><b><span style="font-size: 12pt; line-height: 150%;"> </span></b><b><span lang="EN-US" style="font-size: 12pt; line-height: 150%;">M=180</span></b><b><span lang="EN-US" style="font-size: 12pt; line-height: 150%;">°</span></b><span lang="EN-US" style="font-size: 12pt; line-height: 150%;">. Jadi jumlah dua sudut berdekatan (sudut dalam
sepihak) adalah <b>180</b></span><b><span lang="EN-US" style="font-size: 12pt; line-height: 150%;">°</span></b><b><span style="font-size: 12pt; line-height: 150%;">.</span></b><br />
<b><span style="font-size: 12pt; line-height: 150%;"> </span></b><b><span style="font-size: 12pt; line-height: 150%;"> <span lang="EN-US"><o:p></o:p></span></span></b></div>
<div class="MsoNormal" style="margin: 0cm 0cm 6pt 21.3pt; text-align: justify; text-indent: -21.3pt;">
<span lang="EN-US" style="font-size: 12pt; line-height: 150%;"> C.<span style="font: 7pt "Times New Roman";">
</span></span><span lang="EN-US" style="font-size: 12pt; line-height: 150%;">Rumus Trapesium </span><br />
<span lang="EN-US" style="font-size: 12pt; line-height: 150%;"> a. Rumus Keliling</span><br />
<br />
<span lang="EN-US" style="font-size: 12pt; line-height: 150%;"><o:p></o:p></span></div>
<div class="MsoNormal" style="margin: 0cm 0cm 6pt 54pt; text-align: justify; text-indent: -18pt;">
<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="http://4.bp.blogspot.com/-5GqCmiFjY2g/T9A0758pyoI/AAAAAAAAABM/kd8oJABliXI/s1600/E.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" src="http://4.bp.blogspot.com/-5GqCmiFjY2g/T9A0758pyoI/AAAAAAAAABM/kd8oJABliXI/s1600/E.jpg" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Rumus Keliling</td></tr>
</tbody></table>
b. Rumus Luas<br />
<table align="center" cellpadding="0" cellspacing="0" class="tr-caption-container" style="margin-left: auto; margin-right: auto; text-align: center;"><tbody>
<tr><td style="text-align: center;"><a href="http://4.bp.blogspot.com/-BglDqt3CCPM/T9A09k7FceI/AAAAAAAAABU/JiVqZSra2oc/s1600/F.jpg" imageanchor="1" style="margin-left: auto; margin-right: auto;"><img border="0" src="http://4.bp.blogspot.com/-BglDqt3CCPM/T9A09k7FceI/AAAAAAAAABU/JiVqZSra2oc/s1600/F.jpg" /></a></td></tr>
<tr><td class="tr-caption" style="text-align: center;">Rumus Luas</td></tr>
</tbody></table>
<span lang="EN-US" style="font-size: 12pt; line-height: 150%;"><span style="font: 7pt "Times New Roman";"></span></span><span style="height: 75px; left: 0px; margin-left: 179px; margin-top: 11px; position: absolute; width: 263px; z-index: 10;"></span><b><span style="font-size: 12pt; line-height: 150%;">BY TRI SUPARDI OTAYA<o:p></o:p></span></b></div>
<div class="MsoNormal" style="margin-bottom: 6pt; text-align: justify;">
<b><i><span style="font-size: 12pt; line-height: 150%;"> ( TRAPESIUM )<o:p></o:p></span></i></b></div>
<b><span style="font-size: 12pt; line-height: 150%;"><o:p></o:p></span></b>Anonymoushttp://www.blogger.com/profile/10460827355037024270noreply@blogger.com10