document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=277687>Question 277687</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The hypotenuse of a right triangle is 6 more than the shorter leg. The longer leg is three more than the shorter leg. Find the length of the shorter leg. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #202141 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=202141\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The hypotenuse of a right triangle is 6 more than the shorter leg. The longer leg is three more than the shorter leg. Find the length of the shorter leg.\r<BR>\n" );
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document.write( "Let the shorter leg be x\r<BR>\n" );
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document.write( "hypotenuse = x+6\r<BR>\n" );
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document.write( "Longer leg is x+3\r<BR>\n" );
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document.write( "(x+6)^2 = x^2+ (x+3)^2\r<BR>\n" );
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document.write( "x^2+12x+36 = x^2+x^2+6x+9\r<BR>\n" );
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document.write( "x^2-6x-27 =0\r<BR>\n" );
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document.write( "x^2-9x+3x-27=0\r<BR>\n" );
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document.write( "x(x-9)+3(x-9)\r<BR>\n" );
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document.write( "(x+3)(x-9)=0\r<BR>\n" );
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document.write( "x=9 \r<BR>\n" );
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document.write( "the sides are 9, 12 15\r<BR>\n" );
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document.write( " </SPAN>\n" );
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