document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=667067>Question 667067</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the lengths of three medians of a triangle are 9,12 & 15cm. The area of the triangle is </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #414799 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=414799\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
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document.write( "A median in a triangle is a line segment drawn from an angle to the midpoint of the opposite side. The medians of a triangle all intersect in one point. This point divides each median in the ratio <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%3A+2 ALIGN=MIDDLE  ALT=\"1%3A+2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "let <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=ABC ALIGN=MIDDLE  ALT=\"ABC\"   DISABLED_style= \"max-width:90%; height:auto;\" > be a triangle \r<BR>\n" );
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document.write( "if CM[1]=15...it is equal to the hight of triangle <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=h ALIGN=MIDDLE  ALT=\"h\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AM%5B2%5D=12 ALIGN=MIDDLE  ALT=\"AM%5B2%5D=12\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=BM%5B3%5D=9 ALIGN=MIDDLE  ALT=\"BM%5B3%5D=9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "if intersection point of all three medians is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=T ALIGN=MIDDLE  ALT=\"T\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AM%5B2%5D ALIGN=MIDDLE  ALT=\"AM%5B2%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > is median then \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AT%3ATM%5B2%5D=2%3A1 ALIGN=MIDDLE  ALT=\"AT%3ATM%5B2%5D=2%3A1\"   DISABLED_style= \"max-width:90%; height:auto;\" > .......=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AT=%2812%2F3%292=8 ALIGN=MIDDLE  ALT=\"AT=%2812%2F3%292=8\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=TM%5B2%5D=4 ALIGN=MIDDLE  ALT=\"TM%5B2%5D=4\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=CT%3ATM%5B1%5D=2%3A1 ALIGN=MIDDLE  ALT=\"CT%3ATM%5B1%5D=2%3A1\"   DISABLED_style= \"max-width:90%; height:auto;\" > .......=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=CT%3ATM%5B1%5D=%2815%2F3%292=10 ALIGN=MIDDLE  ALT=\"CT%3ATM%5B1%5D=%2815%2F3%292=10\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=TM%5B1%5D=%2815%2F3%291=5 ALIGN=MIDDLE  ALT=\"TM%5B1%5D=%2815%2F3%291=5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "now we can find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AM%5B1%5D ALIGN=MIDDLE  ALT=\"AM%5B1%5D\"   DISABLED_style= \"max-width:90%; height:auto;\" > which is half of base <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB ALIGN=MIDDLE  ALT=\"AB\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AM%5B1%5D%5E2=%28AT%29%5E2-%28TM%5B1%5D%29%5E2 ALIGN=MIDDLE  ALT=\"AM%5B1%5D%5E2=%28AT%29%5E2-%28TM%5B1%5D%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AM%5B1%5D%5E2=8%5E2-5%5E2 ALIGN=MIDDLE  ALT=\"AM%5B1%5D%5E2=8%5E2-5%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AM%5B1%5D%5E2=64-25 ALIGN=MIDDLE  ALT=\"AM%5B1%5D%5E2=64-25\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AM%5B1%5D%5E2=39 ALIGN=MIDDLE  ALT=\"AM%5B1%5D%5E2=39\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AM%5B1%5D=sqrt%2839%29 ALIGN=MIDDLE  ALT=\"AM%5B1%5D=sqrt%2839%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AM%5B1%5D=6.25 ALIGN=MIDDLE  ALT=\"AM%5B1%5D=6.25\"   DISABLED_style= \"max-width:90%; height:auto;\" >...........so, the base <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=AB=6.25%2A2=12.5 ALIGN=MIDDLE  ALT=\"AB=6.25%2A2=12.5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "then the area will be:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=%281%2F2%2912.5%2A15 ALIGN=MIDDLE  ALT=\"A=%281%2F2%2912.5%2A15\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=6.2.5%2A15 ALIGN=MIDDLE  ALT=\"A=6.2.5%2A15\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=A=93.75 ALIGN=MIDDLE  ALT=\"A=93.75\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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