document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1138307>Question 1138307</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The length of the longer leg of a right triangle is <BR>\n" );
document.write( "25 inches more than seven times the length of the shorter leg. The length of the hypotenuse is 26 inches more than seven times the length of the shorter leg. Find the side lengths of the triangle. \r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #756134 by </B><A HREF=/tutors/aboutme.mpl?userid=Boreal><B>Boreal(15235)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Boreal><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=Boreal><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=756134\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> short leg is x<BR>\n" );
document.write( "longer leg is 7x+25<BR>\n" );
document.write( "the hypotenuse is 7x+26<BR>\n" );
document.write( "square everything<BR>\n" );
document.write( "x^2+49x^2+350X+625=49X^2+364X+676<BR>\n" );
document.write( "X^2-14x-51=0<BR>\n" );
document.write( "(x-17)(x+3)=0<BR>\n" );
document.write( "x=17 inches  only positive root<BR>\n" );
document.write( "longer leg is 144 in<BR>\n" );
document.write( "hypotenuse is 145 in </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );