document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=128813>Question 128813</A>: <I><SPAN STYLE=\"word-break: break-all;\"> In a right triangle , the shorter leg is 6 less than the longer leg. The hypotenuse is 6 less than twice the shorter leg. Set up a quadratic equation and use it to determine the lenghth of the hypotenuse of the right triangle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #94221 by </B><A HREF=/tutors/aboutme.mpl?userid=edjones><B>edjones(8007)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=edjones><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=edjones><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=94221\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Let a=longer leg, b=shorter leg, c=hypotenuse<BR>\n" );
document.write( "b=a-6<BR>\n" );
document.write( "c=2b-6=2(a-6)-6=2a-12-6=2a-18<BR>\n" );
document.write( "a^2+b^2=c^2<BR>\n" );
document.write( "a^2+(a-6)^2=(2a-18)^2<BR>\n" );
document.write( "a^2+a^2-12a+36=4a^2-72a+324<BR>\n" );
document.write( "2a^2-60a+288=0<BR>\n" );
document.write( "(a-6)(a-24)=0<BR>\n" );
document.write( "a=6 not an answer in this problem.<BR>\n" );
document.write( "a=24<BR>\n" );
document.write( "c=2a-18<BR>\n" );
document.write( "=48-18<BR>\n" );
document.write( "=30 Ans.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Ed\r<BR>\n" );
document.write( "<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );