document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=968024>Question 968024</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the longest side of a right triangle is 7 ft longer than four times the length of the shortest side. the other side of the triangle is 7 ft shorter than four times the length of the shortest side. find the lengths of the sides 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 #591630 by </B><A HREF=/tutors/aboutme.mpl?userid=amarjeeth123><B>amarjeeth123(569)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=amarjeeth123><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=591630\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let the shortest side be x.<BR>\n" );
document.write( "The longest side is (7+4x).<BR>\n" );
document.write( "The other side is (4x-7).<BR>\n" );
document.write( "We have (4x+7)^2=(4x-7)^2+x^2<BR>\n" );
document.write( "16x^2+56x+49=16x^2-56x+49+x^2<BR>\n" );
document.write( "x^2=112x<BR>\n" );
document.write( "x=112.<BR>\n" );
document.write( "The shortest side is 112.<BR>\n" );
document.write( "The longest side is 455.<BR>\n" );
document.write( "The other side is 441. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );