document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=192306>Question 192306</A>: <I><SPAN STYLE=\"word-break: break-all;\"> The height of a triangle is 4in greater than twice its base. The area of the trianlge is 168 square in. What is the base 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 #144339 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=144339\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">     The height of a triangle is 4in greater than twice its base. The area of the trianlge is 168 square in. What is the base of the triangle?<BR>\n" );
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document.write( "We know that for any triangle:<BR>\n" );
document.write( "area = (1/2)bh<BR>\n" );
document.write( "where<BR>\n" );
document.write( "b is base<BR>\n" );
document.write( "h is height<BR>\n" );
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document.write( "Let b = length of the base<BR>\n" );
document.write( "then<BR>\n" );
document.write( "2b+4 = length of the height<BR>\n" );
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document.write( "168 = (1/2)b(2b+4)<BR>\n" );
document.write( "336 = b(2b+4)<BR>\n" );
document.write( "336 = 2b^2 + 4b<BR>\n" );
document.write( "0 = 2b^2 + 4b - 336<BR>\n" );
document.write( "0 = b^2 + 2b - 168<BR>\n" );
document.write( "0 = (b+14)(b-12)<BR>\n" );
document.write( "b = 12 inches (base)\r<BR>\n" );
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document.write( " </SPAN>\n" );
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