document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=760439>Question 760439</A>: <I><SPAN STYLE=\"word-break: break-all;\"> a triangle has area 42cm^2. find the height, in cm, if it is 5cm shorter than 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 #462681 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=462681\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Base = x<BR>\n" );
document.write( "Height = (x - 5)<BR>\n" );
document.write( "Area = 1/2 (base * height)<BR>\n" );
document.write( "  42 = 1/2 (x*(x - 5))<BR>\n" );
document.write( "  42 = 1/2(x^2 - 5x)<BR>\n" );
document.write( "  84 = x^2 - 5x<BR>\n" );
document.write( "  x^2 - 5x - 84<BR>\n" );
document.write( "(x - 12)(x + 7) = 0<BR>\n" );
document.write( "x = 12<BR>\n" );
document.write( "x = -7 (no answer)<BR>\n" );
document.write( "Base = 12cm<BR>\n" );
document.write( "Height = 7cm<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );