document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1089943>Question 1089943</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if the perimeter of a rhombus is 40 cm and one of its diagonals is 12cm, find the other diagonal </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #704332 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=704332\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> \r<BR>\n" );
document.write( "\n" );
document.write( "A rhombus is a flat shape with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4 ALIGN=MIDDLE  ALT=\"4\"   DISABLED_style= \"max-width:90%; height:auto;\" > equal straight sides.<BR>\n" );
document.write( "Opposite sides are parallel, and opposite angles are equal (it is a parallelogram).<BR>\n" );
document.write( "And the diagonals \"<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p ALIGN=MIDDLE  ALT=\"p\"   DISABLED_style= \"max-width:90%; height:auto;\" >\" and \"<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q ALIGN=MIDDLE  ALT=\"q\"   DISABLED_style= \"max-width:90%; height:auto;\" >\" of a rhombus bisect each other at <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=right ALIGN=MIDDLE  ALT=\"right\"   DISABLED_style= \"max-width:90%; height:auto;\" > angles.\r<BR>\n" );
document.write( "\n" );
document.write( "Perimeter: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=P+=+4s ALIGN=MIDDLE  ALT=\"P+=+4s\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "if the perimeter of a rhombus is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=40cm ALIGN=MIDDLE  ALT=\"40cm\"   DISABLED_style= \"max-width:90%; height:auto;\" > and one of its diagonals is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=12cm ALIGN=MIDDLE  ALT=\"12cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we have:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4s=40cm ALIGN=MIDDLE  ALT=\"4s=40cm\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=40cm%2F4 ALIGN=MIDDLE  ALT=\"s=40cm%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=10cm ALIGN=MIDDLE  ALT=\"s=10cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "so, we have:<BR>\n" );
document.write( "side <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s=10cm ALIGN=MIDDLE  ALT=\"s=10cm\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "diagonal <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p=12cm ALIGN=MIDDLE  ALT=\"p=12cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s ALIGN=MIDDLE  ALT=\"s\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=p%2F2 ALIGN=MIDDLE  ALT=\"p%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q%2F2 ALIGN=MIDDLE  ALT=\"q%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > form right triangle, we can find <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q%2F2 ALIGN=MIDDLE  ALT=\"q%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > using Pythagorean theorem:\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=s%5E2=%28q%2F2%29%5E2%2B%28p%2F2%29%5E2 ALIGN=MIDDLE  ALT=\"s%5E2=%28q%2F2%29%5E2%2B%28p%2F2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2810cm%29%5E2-%2812cm%2F2%29%5E2=%28q%2F2%29%5E2 ALIGN=MIDDLE  ALT=\"%2810cm%29%5E2-%2812cm%2F2%29%5E2=%28q%2F2%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28q%2F2%29%5E2=100cm%5E2-%286cm%29%5E2 ALIGN=MIDDLE  ALT=\"%28q%2F2%29%5E2=100cm%5E2-%286cm%29%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28q%2F2%29%5E2=100cm%5E2-36cm%5E2 ALIGN=MIDDLE  ALT=\"%28q%2F2%29%5E2=100cm%5E2-36cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28q%2F2%29%5E2=64cm%5E2 ALIGN=MIDDLE  ALT=\"%28q%2F2%29%5E2=64cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q%2F2=sqrt%2864cm%5E2%29 ALIGN=MIDDLE  ALT=\"q%2F2=sqrt%2864cm%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q%2F2=8cm ALIGN=MIDDLE  ALT=\"q%2F2=8cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q=8cm%2A2 ALIGN=MIDDLE  ALT=\"q=8cm%2A2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=q=16cm ALIGN=MIDDLE  ALT=\"q=16cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "so, the length of the other diagonal is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=16cm ALIGN=MIDDLE  ALT=\"16cm\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );