SOLUTION: The base of a triangle is one half as long as its height. If the area of the triangle is 144 square meters, find its height.

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Question 958804: The base of a triangle is one half as long as its height. If the area of the triangle is 144 square meters, find its height.
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
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h=height; b=base=(1/2)h; A=area=144 sq m
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A=%281%2F2%29bh Substitute for b.
A=%281%2F2%29%281%2F2%29%28h%29%28h%29
A=%281%2F4%29h%5E2 Multiply each side by 4.
4A=h%5E2 Find the square root of each side.
sqrt%284A%29=h Put in value for A.
sqrt%284%28144m%5E2%29%29=h
24m=h ANSWER: The height of the triangle is 24 meters.