document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=135114>Question 135114</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The side of a rhombus is 10. One diagonal is 12. 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 #99132 by </B><A HREF=/tutors/aboutme.mpl?userid=vleith><B>vleith(2983)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=vleith><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=99132\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Diagonals of a rhombus are perpendicular. So the intersection of the two diagonals creates 4 right triangles inside a rhombus. see http://en.wikipedia.org/wiki/Rhombus for a picture.\r<BR>\n" );
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document.write( "Given that one diagonal is 12 and all four sides are 10. Then we know that the 4 interior triangles have sides 6,y,10\r<BR>\n" );
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document.write( "You can use Pythagorean theorem to solve for y, or you can notice that the ratio of the triangles is 6:y:10 which is a variant of 3:4:5 right triangle. So y = 8.<BR>\n" );
document.write( "And the other diagonal is 8+8 = 16\r<BR>\n" );
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