document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1013431>Question 1013431</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The diagonals of a rhombus are 12cm and 9cm long.calculate the length of one side of the rhombus. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #629700 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</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=629700\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "all sides of a rhombus are equal in length.<BR>\n" );
document.write( "the diagonals of the rhombus intersect at a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90 ALIGN=MIDDLE  ALT=\"90\"   DISABLED_style= \"max-width:90%; height:auto;\" > degree angle.<BR>\n" );
document.write( "the diagonals and the sides of the rhombus form four right triangles whose sides are:<BR>\n" );
document.write( "one leg of these right triangles is equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29 ALIGN=MIDDLE  ALT=\"%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  the  length  of the one diagonal<BR>\n" );
document.write( "the other leg of these right triangles is equal to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%29 ALIGN=MIDDLE  ALT=\"%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >  the  length  of the other diagonal<BR>\n" );
document.write( "the hypothenuse is equal to the length of the side we are looking for\r<BR>\n" );
document.write( "\n" );
document.write( "so, if side is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a ALIGN=MIDDLE  ALT=\"a\"   DISABLED_style= \"max-width:90%; height:auto;\" >, use Pythagoras theorem to find it using the length of the legs\r<BR>\n" );
document.write( "\n" );
document.write( "one leg is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%2912cm=6cm ALIGN=MIDDLE  ALT=\"%281%2F2%2912cm=6cm\"   DISABLED_style= \"max-width:90%; height:auto;\" > long and the other leg is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F2%2919cm=4.5cm ALIGN=MIDDLE  ALT=\"%281%2F2%2919cm=4.5cm\"   DISABLED_style= \"max-width:90%; height:auto;\" > long\r<BR>\n" );
document.write( "\n" );
document.write( "then <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2=%286cm%29%5E2%2B%284.5cm%29%5E2 ALIGN=MIDDLE  ALT=\"a%5E2=%286cm%29%5E2%2B%284.5cm%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=a%5E2=36cm%5E2%2B20.25cm%5E2 ALIGN=MIDDLE  ALT=\"a%5E2=36cm%5E2%2B20.25cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a%5E2=56.25cm%5E2 ALIGN=MIDDLE  ALT=\"a%5E2=56.25cm%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=sqrt%2856.25cm%5E2%29 ALIGN=MIDDLE  ALT=\"a=sqrt%2856.25cm%5E2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=a=7.5cm ALIGN=MIDDLE  ALT=\"a=7.5cm\"   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" );