document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=701778>Question 701778</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If a Triangle's height is 4 inches less than two times its base, and has an area of 120 square inches. What is the height of the triangle?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #432597 by </B><A HREF=/tutors/aboutme.mpl?userid=nerdybill><B>nerdybill(7384)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=nerdybill><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=nerdybill><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=432597\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">     If a Triangle's height is 4 inches less than two times its base, and has an area of 120 square inches. What is the height of the triangle? <BR>\n" );
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document.write( "Let b = base<BR>\n" );
document.write( "then<BR>\n" );
document.write( "2b-4 = height<BR>\n" );
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document.write( "area = (1/2)bh<BR>\n" );
document.write( "120 = (1/2)b(2b-4)<BR>\n" );
document.write( "240 = b(2b-4)<BR>\n" );
document.write( "240 = 2b^2-4b<BR>\n" );
document.write( "120 = b^2-2b<BR>\n" );
document.write( "0 = b^2-2b-120<BR>\n" );
document.write( "0 = (b-12)(b+10)<BR>\n" );
document.write( "b = 12 inches (base)<BR>\n" );
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document.write( "height:<BR>\n" );
document.write( "2b-4 = 2(12)-4 = 24-4 = 20 inches \r<BR>\n" );
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