document.write( "Question 477973: The area of a triangular poster is 84 square feet. Its height is 2 feet
\n" ); document.write( "shorter than the length of its base.
\n" ); document.write( "The formula for the area of a triangle is A = 1/2bh.
\n" ); document.write( "Find the height of the triangle. \n" ); document.write( "
Algebra.Com's Answer #327512 by nerdybill(7384)\"\" \"About 
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The area of a triangular poster is 84 square feet. Its height is 2 feet
\n" ); document.write( "shorter than the length of its base.
\n" ); document.write( "The formula for the area of a triangle is A = 1/2bh.
\n" ); document.write( "Find the height of the triangle.
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\n" ); document.write( "Let b = base
\n" ); document.write( "then
\n" ); document.write( "b-2 = height
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\n" ); document.write( "we derive our equation from: A = (1/2)bh
\n" ); document.write( "84 = (1/2)b(b-2)
\n" ); document.write( "multiplying both sides by 2:
\n" ); document.write( "168 = b(b-2)
\n" ); document.write( "168 = b^2-2b
\n" ); document.write( "0 = b^2-2b-168
\n" ); document.write( "0 = (b-14)(b+12)
\n" ); document.write( "b = {-12, 14}
\n" ); document.write( "throw out the negative solution leaving
\n" ); document.write( "b = 14 feet (base)
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\n" ); document.write( "height:
\n" ); document.write( "b-2 = 14-2 = 12 feet\r
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