document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=445399>Question 445399</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a garden has the shape of a right triangle with one leg 5 meters longer than the other. the hypotenuse is 5 meters less than twice the length of the shorter leg<BR>\n" );
document.write( "what is the length of the shorter leg? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #306800 by </B><A HREF=/tutors/aboutme.mpl?userid=mananth><B>mananth(16946)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=mananth><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=mananth><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=306800\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> shorter leg =x<BR>\n" );
document.write( "longer leg = x+5<BR>\n" );
document.write( "hyp=2x-5\r<BR>\n" );
document.write( "\n" );
document.write( "...<BR>\n" );
document.write( "Apply Pythagoras theorem<BR>\n" );
document.write( "x^2+(x+5)^2=(2x-5)^2<BR>\n" );
document.write( "x^2+x^2+10x+25=4x^2-20x+25<BR>\n" );
document.write( "group the terms<BR>\n" );
document.write( "2x^2-30x=0<BR>\n" );
document.write( "2x(x-15)=0<BR>\n" );
document.write( "so x= 15 <BR>\n" );
document.write( "..<BR>\n" );
document.write( "15^2+20 ^2= 625<BR>\n" );
document.write( "(2x-5)^2= 625\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );