document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1030590>Question 1030590</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The height of a triangle is 3cm greater than the base. The area of the triangle is 77sqaure cm. Find the length of the base and height of a triangle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #645436 by </B><A HREF=/tutors/aboutme.mpl?userid=Cromlix><B>Cromlix(4381)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cromlix><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=Cromlix><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=645436\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi there,<BR>\n" );
document.write( "Make the base = x<BR>\n" );
document.write( "Height = x + 3<BR>\n" );
document.write( "Area of a triangle<BR>\n" );
document.write( "= 1/2( base x height)<BR>\n" );
document.write( "77 = 1/2(x(x + 3))<BR>\n" );
document.write( "77 = 1/2(x^2 + 3x)<BR>\n" );
document.write( "Multiply both sides by 2<BR>\n" );
document.write( "154 = x^2 + 3x<BR>\n" );
document.write( "Put in ax^2 + bx + c = 0 form<BR>\n" );
document.write( "x^2 + 3x - 154 = 0<BR>\n" );
document.write( "Factorize<BR>\n" );
document.write( "(x + 14)(x - 11) = 0<BR>\n" );
document.write( "x + 14 = 0<BR>\n" );
document.write( "x = -14 disregard as -ve)<BR>\n" );
document.write( "x - 11 = 0<BR>\n" );
document.write( "x = 11<BR>\n" );
document.write( "Base = 11 cm<BR>\n" );
document.write( "Height = 14 cm<BR>\n" );
document.write( "Hope this helps :-) </SPAN>\n" );
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