document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=320886>Question 320886</A>: <I><SPAN STYLE=\"word-break: break-all;\"> One leg of a right triangle is 7 cm less than the length of the other leg.  The length of the hypotenuse is 13 cm.  Find the lengths of the legs. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #229804 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=229804\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let one leg be x<BR>\n" );
document.write( "the other leg will be x-7<BR>\n" );
document.write( "..<BR>\n" );
document.write( "right angled triangle <BR>\n" );
document.write( "one side ^2 + second side ^2 = hypotenuse ^2 <BR>\n" );
document.write( "x^2+(x-7)^2=hyp^2<BR>\n" );
document.write( "x^2+x^2-14x+49=169<BR>\n" );
document.write( "2x^2-14x+120=0<BR>\n" );
document.write( "x^2-7x+60=0<BR>\n" );
document.write( "x^2-12x+5x+60=0<BR>\n" );
document.write( "x(x-12)+5(x-12)=0<BR>\n" );
document.write( "(x-12)(x+5)=0<BR>\n" );
document.write( "x=12 OR -5.<BR>\n" );
document.write( "Ignore the negative value<BR>\n" );
document.write( "one leg = 12 cm\r<BR>\n" );
document.write( "\n" );
document.write( "the other leg = 12-7=5 cm </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );