document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=329395>Question 329395</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The side of a large tent is in the shape of an isosceled triangle whose area is 54ft^2 and whose base is 6 ft shorter than twice its height. Find the height and the base of the side of the tent. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #236080 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=236080\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let height be x <BR>\n" );
document.write( "base = 2x-6<BR>\n" );
document.write( "Area = 54<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Area of triangle = 1/2 * base * height<BR>\n" );
document.write( "54=1/2 * x*(2x-6)<BR>\n" );
document.write( "2*54=x(2x-6)<BR>\n" );
document.write( "108=2x^2-6x<BR>\n" );
document.write( "2x^2-6x-108=0<BR>\n" );
document.write( "divide by 2<BR>\n" );
document.write( "x^2-3x-54=0<BR>\n" );
document.write( "x^2-9x+6x-54=0<BR>\n" );
document.write( "x(x-9)+6(x-9)=0<BR>\n" );
document.write( "(x-9)(x+6)=0<BR>\n" );
document.write( "x=9 OR x =-6 ignore the negative value<BR>\n" );
document.write( "So x=9 feet height<BR>\n" );
document.write( "base = 2x-6<BR>\n" );
document.write( "base  = 2*9-6<BR>\n" );
document.write( "base = 18-6<BR>\n" );
document.write( "base = 12 feet. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );