document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=331713>Question 331713</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the base of a triangle is 8cm greater than the height. the area is 42 cm spuared. find the height and length of the base.  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #237795 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=237795\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let height = h<BR>\n" );
document.write( "base = h+8<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Area of traingle = 1/2 * base * height<BR>\n" );
document.write( "42= 1/2 * h * (h+8)<BR>\n" );
document.write( "42=1/2*(h^2+8h)<BR>\n" );
document.write( "84= h^2+8h<BR>\n" );
document.write( "h^2+8h-84=0<BR>\n" );
document.write( "h^2+14h-6h-84=0<BR>\n" );
document.write( "h(h+14)-6(h+14)=0<BR>\n" );
document.write( "(h+14)(h-6)=0<BR>\n" );
document.write( "h= 6 Or -14<BR>\n" );
document.write( "ignore negative value<BR>\n" );
document.write( "h=6 cm<BR>\n" );
document.write( "base = h+8=14 cm </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );