document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=729980>Question 729980</A>: <I><SPAN STYLE=\"word-break: break-all;\"> A lot is in the shape of a right triangle.  The shorter leg measures 150m.  The hypotenuse is 50m longer than the length of the longer leg.  How long is the longer leg? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #446381 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=446381\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">     A lot is in the shape of a right triangle. The shorter leg measures 150m. The hypotenuse is 50m longer than the length of the longer leg. How long is the longer leg?<BR>\n" );
document.write( "Let x = length (m) of longer leg<BR>\n" );
document.write( "then<BR>\n" );
document.write( "x+50 = length of hypotenuse<BR>\n" );
document.write( ".<BR>\n" );
document.write( "applying Pythagorean theorem:<BR>\n" );
document.write( "150^2 + x^2 = (x+50)^2<BR>\n" );
document.write( "150^2 + x^2 = (x+50)(x+50)<BR>\n" );
document.write( "22500 + x^2 = x^2+100x+2500<BR>\n" );
document.write( "22500 = 100x+2500<BR>\n" );
document.write( "20000 = 100x<BR>\n" );
document.write( "200 m = x (longer leg)<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );