document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=208259>Question 208259</A>: <I><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "Hi, I am needing a little help with this algebra....\r<BR>\n" );
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document.write( "The base of a triangular sail is 18m shorter than it's height. The area is 140m^2. What is the base & height??\r<BR>\n" );
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document.write( "Thanks for any help, I really appreciate it! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #157537 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=157537\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The base of a triangular sail is 18m shorter than it's height. The area is 140m^2. What is the base & height?? <BR>\n" );
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document.write( "For this problem, you're expected to know the area of any triangle is:<BR>\n" );
document.write( "(1/2)bh<BR>\n" );
document.write( "where<BR>\n" );
document.write( "b is base<BR>\n" );
document.write( "h is height or altitude<BR>\n" );
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document.write( "Let h = height<BR>\n" );
document.write( "then<BR>\n" );
document.write( "h-18 = base<BR>\n" );
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document.write( "140 = (1/2)(h-18)h<BR>\n" );
document.write( "280 = h^2-18h<BR>\n" );
document.write( "0 = h^2-18h-280<BR>\n" );
document.write( "Factoring:<BR>\n" );
document.write( "0 = (h+10)(h-28)<BR>\n" );
document.write( "h = {28, -10}<BR>\n" );
document.write( "Eliminate the negative answer:<BR>\n" );
document.write( "h = 28 meters (height)<BR>\n" );
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document.write( "base:<BR>\n" );
document.write( "h-18 = 28-18 = 10 meters (base)<BR>\n" );
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