document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=930505>Question 930505</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of the longer leg of a right triangle is <BR>\n" );
document.write( "13cm<BR>\n" );
document.write( " more than three times the length of the shorter leg. The length of the hypotenuse is <BR>\n" );
document.write( "14cm<BR>\n" );
document.write( " more than three times the length of the shorter leg. Find the side lengths of the triangle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #565160 by </B><A HREF=/tutors/aboutme.mpl?userid=ewatrrr><B>ewatrrr(24785)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ewatrrr><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=ewatrrr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=565160\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/display-illustration.mpl?tutor=ewatrrr&illustration_name=Pythagorean_theorem_3.jpg\">.<BR>\n" );
document.write( "(3x + 13)^2 + x^2 = (3x+14)^2<BR>\n" );
document.write( "3x^2 + 78x +169 + x^2 = 3x^2 + 84x + 196<BR>\n" );
document.write( "x^2 - 6x - 27 = 0<BR>\n" );
document.write( "(x+3)(x-9) = 0<BR>\n" );
document.write( "x = 9<BR>\n" );
document.write( "hypotenuse = 41<BR>\n" );
document.write( "....checking...<BR>\n" );
document.write( "40^2 + 9^2 = 41^2 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );