document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1132732>Question 1132732</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The perimeter of △CDE is 55 cm. A rhombus DMFN is inscribed in this triangle so that vertices M, F, and N lie on the sides CD, CE, and DE respectively. Find CD and DE if CF=8 cm and EF=12 cm.     </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #749855 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=749855\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> here is a picture to use as reference\r<BR>\n" );
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document.write( "<a  rel=nofollow HREF=\"http://tinypic.com?ref=33p7d06\" target=\"_blank\"><IMG STYLE=\"max-width:80%;\" src=\"http://i66.tinypic.com/33p7d06.jpg\" border=\"0\" alt=\"Image and video hosting by TinyPic\"></a>\r<BR>\n" );
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document.write( "draw same picture and mark points as given\r<BR>\n" );
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document.write( "A rhombus <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=DMFN ALIGN=MIDDLE  ALT=\"DMFN\"   DISABLED_style= \"max-width:90%; height:auto;\" > is inscribed in this triangle so that vertices <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=M ALIGN=MIDDLE  ALT=\"M\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=F ALIGN=MIDDLE  ALT=\"F\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=N+ ALIGN=MIDDLE  ALT=\"N+\"   DISABLED_style= \"max-width:90%; height:auto;\" >lie on the sides <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=CD ALIGN=MIDDLE  ALT=\"CD\"   DISABLED_style= \"max-width:90%; height:auto;\" > , <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=CE ALIGN=MIDDLE  ALT=\"CE\"   DISABLED_style= \"max-width:90%; height:auto;\" > , and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=DE ALIGN=MIDDLE  ALT=\"DE\"   DISABLED_style= \"max-width:90%; height:auto;\" > respectively.\r<BR>\n" );
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document.write( "Since, in rhombus, the opposite edges are parallel,\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=MF ALIGN=MIDDLE  ALT=\"MF\"   DISABLED_style= \"max-width:90%; height:auto;\" > ║ <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=DE ALIGN=MIDDLE  ALT=\"DE\"   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=CM%2FMD=CF%2FEF+ ALIGN=MIDDLE  ALT=\"CM%2FMD=CF%2FEF+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "since given that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=CF=8cm ALIGN=MIDDLE  ALT=\"CF=8cm\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=EF=12cm+ ALIGN=MIDDLE  ALT=\"EF=12cm+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we have\r<BR>\n" );
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document.write( "=><IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+CM%2FMD=8%2F12 ALIGN=MIDDLE  ALT=\"+CM%2FMD=8%2F12\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "That is, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=CM=8 ALIGN=MIDDLE  ALT=\"CM=8\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=MD=+12 ALIGN=MIDDLE  ALT=\"MD=+12\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Therefore, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=CD=CM%2BMD=8%2B12=20 ALIGN=MIDDLE  ALT=\"CD=CM%2BMD=8%2B12=20\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "But According to the question, \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=CD%2BDE%2BCE=55 ALIGN=MIDDLE  ALT=\"CD%2BDE%2BCE=55\"   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=20%2BDE%2B20=55 ALIGN=MIDDLE  ALT=\"20%2BDE%2B20=55\"   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=DE=15 ALIGN=MIDDLE  ALT=\"DE=15\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Answer:  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=CD=+20cm+ ALIGN=MIDDLE  ALT=\"CD=+20cm+\"   DISABLED_style= \"max-width:90%; height:auto;\" >and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=DE=+15cm ALIGN=MIDDLE  ALT=\"DE=+15cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
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