document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=247102>Question 247102</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The hypotenuse of a triangle is eight feet longer than the shorter leg. The length of the longer leg is seven feet more than the length of the shorter leg. Find 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 #180332 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=180332\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> c=a+8<BR>\n" );
document.write( "b=a+7<BR>\n" );
document.write( "a^2+b^2=c^2<BR>\n" );
document.write( "a^2+(a+7)^2=(a+8)^2<BR>\n" );
document.write( "a^2+a^2+14a+49=a^2+16a+64<BR>\n" );
document.write( "2a^2-a^2+14a-16a+49-64=0<BR>\n" );
document.write( "a^2-2a-15=0<BR>\n" );
document.write( "(a-5)(a+3)=0<BR>\n" );
document.write( "a-5=0<BR>\n" );
document.write( "a=5 ans. <BR>\n" );
document.write( "b=5+7=12 ans. <BR>\n" );
document.write( "c=5+8=13 ans.<BR>\n" );
document.write( "Proof:<BR>\n" );
document.write( "5^2+12^2=13^2<BR>\n" );
document.write( "25+144=169<BR>\n" );
document.write( "169=169 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );