document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1028554>Question 1028554</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a right triangle, the length of the longer leg is 7 more inches than the shorter leg. The length of the hypotenuse is 8 inches more than the shorter leg. Find the length of the hypotenuse. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #643661 by </B><A HREF=/tutors/aboutme.mpl?userid=Cromlix><B>Cromlix(4381)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cromlix><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=Cromlix><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=643661\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi there,<BR>\n" );
document.write( "Short side = x<BR>\n" );
document.write( "Long side = 7 + x<BR>\n" );
document.write( "Hypotenuse = 8 + x<BR>\n" );
document.write( "By Pythagoras Theorem<BR>\n" );
document.write( "x^2 + (7 + x)^2 = (8 + x)^2<BR>\n" );
document.write( "x^2 + 49 + 14x + x^2 = 64 + 16x + x^2<BR>\n" );
document.write( "x^2 - 2x - 15 = 0<BR>\n" );
document.write( "(x + 3)(x - 5) = 0<BR>\n" );
document.write( "x + 3 = o<BR>\n" );
document.write( "x = -3 (Disregard as -ve)<BR>\n" );
document.write( "x - 5 = 0<BR>\n" );
document.write( "x = 5<BR>\n" );
document.write( "Short side = 5 inches<BR>\n" );
document.write( "Long side = 12 inches<BR>\n" );
document.write( "Hypotenuse = 13 inches<BR>\n" );
document.write( "Hope this helps :-) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );