Question 1067042: The length of the base of a triangle is twice its height. If the area of the triangle is 196 square kilometers, find the height. Answer by rothauserc(4718) (Show Source):
You can put this solution on YOUR website! Area(A) of a triangle = (1/2) * base * height
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let x be the length of the height, then base = 2x
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we are given A = 196 square kilometers
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196 = (1/2) * 2x * x
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x^2 = 196
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x = square root(196) = + or - 14 kilometers
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height of triangle = 14 kilometers
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Note that we reject the negative value(-14) for the base
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we check the answer
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196 = (1/2) * 28 * 14 = 196
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our answer checks
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