document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=534796>Question 534796</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The hypotenuse of a right triangle is 1.3 units long. The longer leg is 0.7 units longer than the shorter leg. Find the lengths of the legs of the triangle. <BR>\n" );
document.write( "All I am able to figure out is the formula to use is a^2 + b^2 = c^2. Please help. I am lost from here. <BR>\n" );
document.write( "Thank you in advance! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #351639 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=351639\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let shorter leg be x units<BR>\n" );
document.write( "longer leg = x+0.7 units\r<BR>\n" );
document.write( "\n" );
document.write( "Hypotenuse = 1.3 units\r<BR>\n" );
document.write( "\n" );
document.write( "By Pythagoras theorem\r<BR>\n" );
document.write( "\n" );
document.write( "x^2+(x+0.7)^2= 1.3^2\r<BR>\n" );
document.write( "\n" );
document.write( "x^2+x^2+1.4x+0.49=1.69\r<BR>\n" );
document.write( "\n" );
document.write( "2x^2+1.4x-1.2\r<BR>\n" );
document.write( "\n" );
document.write( "/2<BR>\n" );
document.write( "x^2+0.7x-0.6=0<BR>\n" );
document.write( "multiply by 10 to eliminate the decimals<BR>\n" );
document.write( "10x^2+7x-6=0<BR>\n" );
document.write( "10x^2+12x-5x-6=0<BR>\n" );
document.write( "2x(5x+6)-1(5x+6)=0<BR>\n" );
document.write( "(5x+6)(2x-1)=0<BR>\n" );
document.write( "x=-6/5 OR 1/2\r<BR>\n" );
document.write( "\n" );
document.write( "Ignore negative <BR>\n" );
document.write( "x=1/2 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );