document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=417593>Question 417593</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I have been working on this word problem awhile and haven't come up with an answer yet. Can you please help me?\r<BR>\n" );
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document.write( "A toy manufacturer needs a piece of plastic in the  shape of a right triangle with the longer leg 4cm more than the shorter leg and the hypotenuse 8 cm more than the shorter leg. How long should the sides of the triangle be?\r<BR>\n" );
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document.write( "The sides are_________\r<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 #292334 by </B><A HREF=/tutors/aboutme.mpl?userid=sudhanshu_kmr><B>sudhanshu_kmr(1152)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sudhanshu_kmr><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=sudhanshu_kmr><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=292334\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "shorter side is x and longer side is x+4 .\r<BR>\n" );
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document.write( "hypotenuse = 8+x\r<BR>\n" );
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document.write( "(8+x)^2 = x^2 + (x+4)^2\r<BR>\n" );
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document.write( "=> x^2 + 16x + 64 = x^2 + x^2 + 8x + 16\r<BR>\n" );
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document.write( "=> x^2 + 8x +16 - 16x -64 = 0\r<BR>\n" );
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document.write( "=> x^2 - 8x -48 = 0\r<BR>\n" );
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document.write( "=> x^2 - 12x + 4x -48 = 0\r<BR>\n" );
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document.write( "=> x(x-12) +4(x-12) = 0\r<BR>\n" );
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document.write( "=> (x+4)(x-12) = 0\r<BR>\n" );
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document.write( "so, x =12, because  x= -4 is not possible..\r<BR>\n" );
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document.write( "so, sides are 12, 16 and 20 \r<BR>\n" );
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