document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=167676>Question 167676</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A RIGHT TRIANGLE HAS A HYPOTENUSE WITH A MEASURE OF 20 CM. FIND THE LENGTHS OF THE LEGS IF ONE LEG IS 4 CM LONGER THAN THE OTHER LEG. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #123575 by </B><A HREF=/tutors/aboutme.mpl?userid=sowmya><B>sowmya(32)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=sowmya><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=123575\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A RIGHT TRIANGLE HAS A HYPOTENUSE WITH A MEASURE OF 20 CM. FIND THE LENGTHS OF THE LEGS IF ONE LEG IS 4 CM LONGER THAN THE OTHER LEG.\r<BR>\n" );
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document.write( "Solution:<BR>\n" );
document.write( "In  aright trianle with sides a , b and hypotenuse c units,<BR>\n" );
document.write( "by pythagoras theorem\r<BR>\n" );
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document.write( "c^2 = a^2 +b^2\r<BR>\n" );
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document.write( "Let a = b+4\r<BR>\n" );
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document.write( "c = 20 cm (given)\r<BR>\n" );
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document.write( "Hecne by the theorem,\r<BR>\n" );
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document.write( "400 = (b+4)^2 + b^2<BR>\n" );
document.write( "    = 2b^2 + 8b + 16\r<BR>\n" );
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document.write( "2b^2 + 8b -384=0<BR>\n" );
document.write( "=> b^2 +4b - 192 = 0<BR>\n" );
document.write( "b^2 + 16b - 12 b -192=0<BR>\n" );
document.write( "(b-12)(b+16) = 0\r<BR>\n" );
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document.write( "b = 12 or b = -16<BR>\n" );
document.write( "but b cannot be neagtive since b is a side lenghth\r<BR>\n" );
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document.write( "b = 12,<BR>\n" );
document.write( " a= 16\r<BR>\n" );
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document.write( " </SPAN>\n" );
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