document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=371180>Question 371180</A>: <I><SPAN STYLE=\"word-break: break-all;\"> one leg of a triangle is 1 centimeter shorter than the other leg and the hypotenuse is 2 centimeters longer than the longer leg. What are the lengths of the 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 #264472 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=264472\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let one leg be x<BR>\n" );
document.write( "other leg = x-1<BR>\n" );
document.write( "hypotenuse = x+2<BR>\n" );
document.write( "..<BR>\n" );
document.write( "x^2+(x-1)^2=(x+2)^2<BR>\n" );
document.write( "x^2+x^2-2x+1= x^2 +4x+4<BR>\n" );
document.write( "x^2-6x-3=0<BR>\n" );
document.write( "solve for x using quadratic formula<BR>\n" );
document.write( "discriminant = 48<BR>\n" );
document.write( "x1=((6+sqrt(48))/2<BR>\n" );
document.write( "x1= 6.46cm one leg<BR>\n" );
document.write( "other leg will be 5.46cm<BR>\n" );
document.write( "hypotenuse = 7.46cm<BR>\n" );
document.write( "...<BR>\n" );
document.write( "m.ananth@hotmail.ca </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );