document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=305294>Question 305294</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please solve.\r<BR>\n" );
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document.write( "One leg of a right triangle is four less than twice the other.<BR>\n" );
document.write( "The hypotenuse is 10. Find the length of each leg. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #218619 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=218619\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "One leg of a right triangle is four less than twice the other.<BR>\n" );
document.write( "The hypotenuse is 10. Find the length of each leg.<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Let x = one leg<BR>\n" );
document.write( "then<BR>\n" );
document.write( "2x-4 = other leg<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Applying Pythagorean theorem:<BR>\n" );
document.write( "x^2 + (2x-4)^2 = 10^2<BR>\n" );
document.write( "x^2 + (2x-4)(2x-4) = 100<BR>\n" );
document.write( "x^2 + 4x^2-8x-8x+16 = 100<BR>\n" );
document.write( "5x^2-16x+16 = 100<BR>\n" );
document.write( "5x^2-16x-84 = 0<BR>\n" );
document.write( "5x^2-30x+14x-84 = 0<BR>\n" );
document.write( "(5x^2-30x)+(14x-84) = 0<BR>\n" );
document.write( "5x(x-6)+14(x-6) = 0<BR>\n" );
document.write( "(x-6)(5x+14) = 0<BR>\n" );
document.write( "x = {-14/5, 6}<BR>\n" );
document.write( "Toss out the negative answer leaving:<BR>\n" );
document.write( "x = 6<BR>\n" );
document.write( " </SPAN>\n" );
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