document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=35680>Question 35680</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the base of a triangle is 6cm less than its height. If the triangle has an area of 36cm squared, find the length of the base and the height. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #21809 by </B><A HREF=/tutors/aboutme.mpl?userid=narayaba><B>narayaba(40)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=narayaba><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=21809\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> let height be x<BR>\n" );
document.write( "the base is 6cm less than height therefore base b =x - 6\r<BR>\n" );
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document.write( "area =(1/2)*b*h = 36<BR>\n" );
document.write( "b*h = 72<BR>\n" );
document.write( "x*(x-6)=72<BR>\n" );
document.write( "x^2-6x-72=0<BR>\n" );
document.write( "(x-12)(x+6)=0<BR>\n" );
document.write( "x= 12 or -6<BR>\n" );
document.write( "but height cannot be negative so x = 12cm and base = 12-6=6cm<BR>\n" );
document.write( " </SPAN>\n" );
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