document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=601344>Question 601344</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A right triangle has perimeter 80 inches. The length of the hypotenuse is 34 inches. What is the length of the two shorter sides? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #379693 by </B><A HREF=/tutors/aboutme.mpl?userid=flame8855><B>flame8855(424)</B></A><img src=\"/images/stars/stars-10.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=flame8855><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=flame8855><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=379693\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let a  be the length of the hypotenuse<BR>\n" );
document.write( "let b & c be the lenth of the other two sides.<BR>\n" );
document.write( "a=34<BR>\n" );
document.write( "c^2 + b^2= a^2<BR>\n" );
document.write( "b^2+c^2= 156<BR>\n" );
document.write( "a+b+c=80<BR>\n" );
document.write( "solve the three equations :<BR>\n" );
document.write( "b+c= 80-34=46<BR>\n" );
document.write( "c=46-b<BR>\n" );
document.write( "b^2 +(46-b)^2=156<BR>\n" );
document.write( "b^2-46b+480=0<BR>\n" );
document.write( "b=16 or b = 30<BR>\n" );
document.write( "for b = 16 <BR>\n" );
document.write( "c=80-16-34 = 30<BR>\n" );
document.write( "for b=30<BR>\n" );
document.write( "c=80-30-34=16<BR>\n" );
document.write( "so the length of the two other sides are 16 and 30  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );