document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=739103>Question 739103</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the hypotenuse of a right triangle is 24 ft long. the length of one leg is 6 feet more than the other. find the length of the legs. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #453556 by </B><A HREF=/tutors/aboutme.mpl?userid=tommyt3rd><B>tommyt3rd(5050)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=tommyt3rd><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=tommyt3rd><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=453556\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> c=24\r<BR>\n" );
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document.write( "Clearly the side we know the least about is the shortest so...\r<BR>\n" );
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document.write( "a=x\r<BR>\n" );
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document.write( "the length of one leg is 6 feet more than the other means...\r<BR>\n" );
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document.write( "b=x+6\r<BR>\n" );
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document.write( "So our equation is:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B%28x%2B6%29%5E2=24%5E2 ALIGN=MIDDLE  ALT=\"x%5E2%2B%28x%2B6%29%5E2=24%5E2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "so here we go...\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B%28x%5E2%2B12x%2B36%29=576 ALIGN=MIDDLE  ALT=\"x%5E2%2B%28x%5E2%2B12x%2B36%29=576\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2x%5E2%2B12x-540=0 ALIGN=MIDDLE  ALT=\"2x%5E2%2B12x-540=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "divide by  2...\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x%5E2%2B6x-270 ALIGN=MIDDLE  ALT=\"x%5E2%2B6x-270\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "but this quadratic cannot be factored - so we use the quadratic formula\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-6+%2B-+sqrt%28+6%5E2-4%2A1%2A%28-270%29+%29%29%2F2+ ALIGN=MIDDLE  ALT=\"x+=+%28-6+%2B-+sqrt%28+6%5E2-4%2A1%2A%28-270%29+%29%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "From which the negative solution can be discarded (why?)\r<BR>\n" );
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document.write( "therefore...\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=3sqrt%2831%29-3 ALIGN=MIDDLE  ALT=\"x=3sqrt%2831%29-3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and so...\r<BR>\n" );
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document.write( "{{a=3sqrt(31)-3}}}\r<BR>\n" );
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document.write( "{{b=3sqrt(31)+3}}}\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=c=24 ALIGN=MIDDLE  ALT=\"c=24\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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