document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=251486>Question 251486</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a triangle, the lengths of three medians are 4, 5 and 6, find the area of the triangle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #183155 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=183155\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> area of a triangle in terms of the median is expressed as follows:\r<BR>\n" );
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document.write( "The area of a triangle can be expressed in terms of the medians by:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A+=+%284%2F3%29+%2A+sqrt%28sm%28sm-m1%29%28sm-m2%29%28sm-m3%29%29 ALIGN=MIDDLE  ALT=\"A+=+%284%2F3%29+%2A+sqrt%28sm%28sm-m1%29%28sm-m2%29%28sm-m3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "where:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sm+=+%281%2F2%29+%2A+%28m1%2Bm2%2Bm3%29 ALIGN=MIDDLE  ALT=\"sm+=+%281%2F2%29+%2A+%28m1%2Bm2%2Bm3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >. \r<BR>\n" );
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document.write( "see <a  rel=nofollow HREF= \"http://mathworld.wolfram.com/TriangleMedian.html\" target = \"_blank\">http://mathworld.wolfram.com/TriangleMedian.html</a> for details.\r<BR>\n" );
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document.write( "in terms of your problem:\r<BR>\n" );
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document.write( "m1 = 4<BR>\n" );
document.write( "m2 = 5<BR>\n" );
document.write( "m3 = 6<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sm+=+%281%2F2%29%2A%284%2B5%2B6%29+=+%281%2F2%29+%2A+%2815%29+=+7.5 ALIGN=MIDDLE  ALT=\"sm+=+%281%2F2%29%2A%284%2B5%2B6%29+=+%281%2F2%29+%2A+%2815%29+=+7.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "area of the triangle is therefore:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%284%2F3%29+%2A+sqrt%28%28sm%29+%2A+%28sm-m1%29+%2A+%28sm-m2%29+%2A+%28sm-m3%29%29 ALIGN=MIDDLE  ALT=\"A=%284%2F3%29+%2A+sqrt%28%28sm%29+%2A+%28sm-m1%29+%2A+%28sm-m2%29+%2A+%28sm-m3%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "this becomes:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%284%2F3%29+%2A+sqrt%28%287.5%29+%2A+%287.5-4%29+%2A+%287.5-5%29+%2A+%287.5-6%29%29 ALIGN=MIDDLE  ALT=\"A=%284%2F3%29+%2A+sqrt%28%287.5%29+%2A+%287.5-4%29+%2A+%287.5-5%29+%2A+%287.5-6%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "which becomes:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%284%2F3%29+%2A+sqrt%28%287.5%29+%2A+%283.5%29+%2A+%282.5%29+%2A+%281.5%29%29 ALIGN=MIDDLE  ALT=\"A=%284%2F3%29+%2A+sqrt%28%287.5%29+%2A+%283.5%29+%2A+%282.5%29+%2A+%281.5%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "which becomes:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%284%2F3%29+%2A+sqrt%2898.4375%29 ALIGN=MIDDLE  ALT=\"A=%284%2F3%29+%2A+sqrt%2898.4375%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "which becomes\r<BR>\n" );
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document.write( "A = 13.22875656\r<BR>\n" );
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document.write( "here's another reference:\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://www.math10.com/en/geometry/median.html\" target = \"_blank\">http://www.math10.com/en/geometry/median.html</a>\r<BR>\n" );
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document.write( "here's yet another.\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF= \"http://pballew.net/medians.htm\" target = \"_blank\">http://pballew.net/medians.htm</a>\r<BR>\n" );
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document.write( " </SPAN>\n" );
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