document.write( "Question 1107361: The base of a right triangle is one and half times its height. If its area is 27 sq.m, find its base \n" ); document.write( "

Algebra.Com's Answer #722400 by rothauserc(4718) $\"\"$ $\"About$

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Area (A) of triangle = (1/2) * base * height
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\n" ); document.write( "base is 3x/2, where x is the height of the triangle
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\n" ); document.write( "(1/2) * (3x/2) * x = 27
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\n" ); document.write( "3x^2/4 = 27
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\n" ); document.write( "multiply both sides of = by 4
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\n" ); document.write( "3x^2 = 108
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\n" ); document.write( "x^2 = 36
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\n" ); document.write( "x = 6 or x = -6
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\n" ); document.write( "we reject the negative value
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\n" ); document.write( "base = 3*6/2 = 9 m
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