document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=239668>Question 239668</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The hypotenuse of a right triangle is 13 cm.  One leg of the triangle is 7cm longer than the other.  What are the lengths of the two legs? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #175854 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=175854\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The hypotenuse of a right triangle is 13 cm. One leg of the triangle is 7cm longer than the other. What are the lengths of the two legs?<BR>\n" );
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document.write( "Let one leg be \"x\"<BR>\n" );
document.write( "The other leg will be \"x+7\"<BR>\n" );
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document.write( "Equation:<BR>\n" );
document.write( "x^2 + (x+7)^2 = 13^2<BR>\n" );
document.write( "2x^2 + 14x + 49 - 169 = 0<BR>\n" );
document.write( "2x^2 + 14x -120 = 0<BR>\n" );
document.write( "x^2 + 7x - 60 = 0<BR>\n" );
document.write( "x^2 + 12x - 5x - 60 = 0<BR>\n" );
document.write( "x(x+12) -5(x+12) = 0<BR>\n" );
document.write( "(x+12)(x-5) = 0<BR>\n" );
document.write( "Positive solution:<BR>\n" );
document.write( "x = 5 (one leg)<BR>\n" );
document.write( "x+7 = 12 (other leg)<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( " </SPAN>\n" );
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