document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=599645>Question 599645</A>: <I><SPAN STYLE=\"word-break: break-all;\"> the base of a triangle exceeds the height by 9 feet. if the area is 315 square feet, find the length of the base and the height of the triangle<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #379024 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=379024\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> the base of a triangle exceeds the height by 9 feet. if the area is 315 square feet, find the length of the base and the height of the triangle<BR>\n" );
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document.write( "Let h = height <BR>\n" );
document.write( "then<BR>\n" );
document.write( "h+9 = base<BR>\n" );
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document.write( "since area of  triangle = (1/2)bh<BR>\n" );
document.write( "we have<BR>\n" );
document.write( "315 = (1/2)(h+9)(h)<BR>\n" );
document.write( "630 = (h+9)(h)<BR>\n" );
document.write( "630 = h^2+9h<BR>\n" );
document.write( "0 = h^2+9h-630<BR>\n" );
document.write( "factoring:<BR>\n" );
document.write( "0 = (h+30)(h-21)<BR>\n" );
document.write( "h = {-30, 21}<BR>\n" );
document.write( "throw out the negative solution (extraneous) leaving:<BR>\n" );
document.write( "h = 21 feet (height)<BR>\n" );
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document.write( "base:<BR>\n" );
document.write( "h+9 = 21+9 = 30 feet<BR>\n" );
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