document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=186887>Question 186887</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The longer leg of a right triangle measures two feet more than twice the length of the shorter leg. The hypotenuse measures 3 feet more than twice the shorter leg. Find the length of all three sides. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #140088 by </B><A HREF=/tutors/aboutme.mpl?userid=uday1435><B>uday1435(57)</B></A><img src=\"/images/stars/stars-08.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=uday1435><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=uday1435><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=140088\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The longer leg of a right triangle measures two feet more than twice the length of the shorter leg. The hypotenuse measures 3 feet more than twice the shorter leg. Find the length of all three sides.\r<BR>\n" );
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document.write( "Let the shorter leg = s<BR>\n" );
document.write( "Longer leg = 2s + 2<BR>\n" );
document.write( "Hypotenuse = 2s+3<BR>\n" );
document.write( "By Pythagorean theorem<BR>\n" );
document.write( "(2s + 3)^2 = (2s+2)^2 + s^2<BR>\n" );
document.write( "4s^2+12s + 9 = 4s^2 + 8s +4 + s^2<BR>\n" );
document.write( "On simplification we get s^2 – 4s – 5 = 0<BR>\n" );
document.write( "(s – 5) (s + 1)  = 0<BR>\n" );
document.write( "So s = 5, means The shorter leg = 5 feet , Longer leg = 2(5)+2 = 12 feet and the hypotenuse = 2(5) + 3 = 13 feet\r<BR>\n" );
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document.write( "If you still require further clarifications please write to udayakumar.t.r@gmail.com<BR>\n" );
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