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 958806: 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!
.
A=area=144 sq m; h=height; b=base=1/2h
A=%281%2F2%29bh Substitute for b
144m%5E2=%281%2F2%29%2Ah%2A%281%2F2%29h
144m%5E2=%281%2F4%29%28h%5E2%29 Multiply each side by 4.
576m%5E2=h%5E2 Find the square root of each side.
24m=h ANSWER The height is 24 meters.
CHECK:
b=1/2h=1/2(24m)=12m the base is 12 meters
A=1/2bh
144 sq m=(1/2)(12m)(24m)
144 sq m=144 sq m