document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=184271>Question 184271</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0321356918/algebrahomeworkh>College Algebra</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> A lot is in the shape of a right triangle. The shorter leg measures 120 m. The hypotenuse is 40 m longer than the length of the longer leg. How long is the longer leg?  <BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #138287 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=138287\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A lot is in the shape of a right triangle. The shorter leg measures 120 m. The hypotenuse is 40 m longer than the length of the longer leg. How long is the longer leg? \r<BR>\n" );
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document.write( "Let the longer leg be \"x\" m in length.<BR>\n" );
document.write( "Then the hypotenuse is \"x+40\" m<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "(x+40)^2 = x^2 + 120^2<BR>\n" );
document.write( "x^2 + 80x + 6400 = x^2 = 14400<BR>\n" );
document.write( "x^2 + 79x - 8000 = 0\r<BR>\n" );
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document.write( "x = [-79 +- sqrt(79^2 - 4*-8000)]/2\r<BR>\n" );
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document.write( "Positive solution:\r<BR>\n" );
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document.write( "x = [-79 + sqrt(38241)]/2\r<BR>\n" );
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document.write( "x = 58.28 (longer leg)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "San H.<BR>\n" );
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