document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=97137>Question 97137</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0030453232/algebrahomeworkh>Intermediate Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> One leg of a right triangle is 2 in. longer than the other leg. The hypotenuse is 10 in. long. What are the lengths of the legs 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 #70712 by </B><A HREF=/tutors/aboutme.mpl?userid=Nate><B>Nate(3500)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Nate><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=70712\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Obviously the pythagorus triple: 6,8,10<BR>\n" );
document.write( "One leg = x<BR>\n" );
document.write( "Other leg = x + 2<BR>\n" );
document.write( "a^2 + b^2 = c^2<BR>\n" );
document.write( "x^2 + (x + 2)^2 = 10^2<BR>\n" );
document.write( "x^2 + x^2 + 4x + 4 = 100<BR>\n" );
document.write( "2x^2 + 4x - 96 = 0<BR>\n" );
document.write( "x^2 + 2x - 48 = 0<BR>\n" );
document.write( "(x - 6)(x + 8) = 0<BR>\n" );
document.write( "x = 6 and -8<BR>\n" );
document.write( "Other leg: 8 or -6<BR>\n" );
document.write( "Obviously we cannot accept negative values ...<BR>\n" );
document.write( "6 and 8 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );