document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1133131>Question 1133131</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of a side of a triangle is 36. A line parallel to that side divides the triangle into two parts of equal area. Find the length of the segment determined by the points of intersection between the line and the other two sides 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 #750311 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=750311\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Call the larger triangle ABC<BR>\n" );
document.write( "Then the smaller triangle CDE is similar to ABC (all angles are equal, AAA).\r<BR>\n" );
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document.write( "AB is the side that is 36, and we wish to find DE, the side corresponding to AB<br>\r<BR>\n" );
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document.write( "Area_CDE = Area_ABC - Area_CDE  -->  Area_ABC / Area_CDE = 2<br>\r<BR>\n" );
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document.write( "Let x=length of DE<BR>\n" );
document.write( "Ratio of areas = (ratio of sides)^2<BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+=+%2836%2Fx%29%5E2+ ALIGN=MIDDLE  ALT=\"+2+=+%2836%2Fx%29%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2+=+1296%2Fx%5E2+ ALIGN=MIDDLE  ALT=\"+2+=+1296%2Fx%5E2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++x%5E2+=+1296%2F2+=+648+ ALIGN=MIDDLE  ALT=\"++x%5E2+=+1296%2F2+=+648+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "   <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+sqrt%28648%29+ ALIGN=MIDDLE  ALT=\"+x+=+sqrt%28648%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > or approx. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+highlight%28+25.45584+%29+ ALIGN=MIDDLE  ALT=\"+highlight%28+25.45584+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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