document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=802381>Question 802381</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The height of a triangle is 2cm less than its base. The area of the triangle is 24 sq cm. What are the measures of the base and height? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #483862 by </B><A HREF=/tutors/aboutme.mpl?userid=waynest><B>waynest(281)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=waynest><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=483862\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> A = 1/2(bh)<BR>\n" );
document.write( "A = 24<BR>\n" );
document.write( "h = b - 2\r<BR>\n" );
document.write( "\n" );
document.write( "1/2(b(b - 2)) = 24<BR>\n" );
document.write( "1/2(b^2 - 2b) = 24<BR>\n" );
document.write( "2(1/2)(b^2 - 2b) = 2(24)<BR>\n" );
document.write( "b^2 - 2b = 48<BR>\n" );
document.write( "b^2 - 2b - 48 = 48 - 48<BR>\n" );
document.write( "b^2 - 2b - 48 = 0<BR>\n" );
document.write( "(b + 6)(b - 8)<BR>\n" );
document.write( "b + 6 = 0<BR>\n" );
document.write( "b + 6 - 6 = -6<BR>\n" );
document.write( "b = -6....you can't have a negative value for a measurement\r<BR>\n" );
document.write( "\n" );
document.write( "b - 8 = 0<BR>\n" );
document.write( "b - 8 + 8 = 8<BR>\n" );
document.write( "b = 8\r<BR>\n" );
document.write( "\n" );
document.write( "check:<BR>\n" );
document.write( "1/2(8(8 - 2)) = 24<BR>\n" );
document.write( "1/2(8 * 6) = 24<BR>\n" );
document.write( "1/2(48) = 24<BR>\n" );
document.write( "24 = 24 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );