document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=227543>Question 227543</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The hypotenuse of a right triangle is 8 feet less than three times the shorter leg and the longer leg is 8 feet more than twice the shorter leg. Find the lengths of the three 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 #169049 by </B><A HREF=/tutors/aboutme.mpl?userid=checkley77><B>checkley77(12844)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=checkley77><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=169049\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> c=3a-8<BR>\n" );
document.write( "b=2a+8<BR>\n" );
document.write( "a^2+b^2=c^2<BR>\n" );
document.write( "a^2+(2a+8)^2=(3a-8)^2<BR>\n" );
document.write( "a^2+4a^2+32a+64=9a^2-48a+64<BR>\n" );
document.write( "5a^2-9a^2+32a+48a+64-64=0<BR>\n" );
document.write( "-4a^2+80a=0<BR>\n" );
document.write( "-4a(a-20)=0<BR>\n" );
document.write( "a-20=0<BR>\n" );
document.write( "a=20 ans.<BR>\n" );
document.write( "b=2*20+8=40+8=48  ans.<BR>\n" );
document.write( "c=3*20-8=60-8=52 ans.<BR>\n" );
document.write( "Proof:<BR>\n" );
document.write( "20^2+48^2=52^2<BR>\n" );
document.write( "400+2,304=2,704<BR>\n" );
document.write( "2,704=2,704\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );