document.write( "Question 924461: The base of a triangular sail is 15 meters shorter than its height.The area is 92m^2. Find the base and the height of the sail. \n" ); document.write( "
Algebra.Com's Answer #560844 by Cromlix(4381)\"\" \"About 
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area of triangle = 1/2( base x height)
\n" ); document.write( "Height = xm
\n" ); document.write( "Base = (x - 15)m
\n" ); document.write( "Area = 1/2(x(x - 15))
\n" ); document.write( "92 = 1/2(x^2 - 15x)
\n" ); document.write( "Multiply both sides by 2
\n" ); document.write( "x^2 - 15x = 184
\n" ); document.write( "x^2 - 15x - 184 = 0
\n" ); document.write( "(x + 8)(x - 23) = 0
\n" ); document.write( "x + 8 = 0
\n" ); document.write( "x = -8 (no answer as negative)
\n" ); document.write( "x - 23 = 0
\n" ); document.write( "x = 23 (This is your answer)
\n" ); document.write( "1/2 (23(23-15))= 92m
\n" ); document.write( "1/2 (23(8)) = 92m
\n" ); document.write( "1/2(184) = 92m\r
\n" ); document.write( "\n" ); document.write( "Hope this helps.
\n" ); document.write( ":-)
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