SOLUTION: An equilateral triangle has a perimeter of 24 m and an area of 16 square root 3m^2. Find the altitude of the triangle.

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Question 208078: An equilateral triangle has a perimeter of 24 m and an area of 16 square root 3m^2. Find the altitude of the triangle.
Answer by nerdybill(7384) About Me  (Show Source):
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An equilateral triangle has a perimeter of 24 m and an area of 16 square root 3m^2. Find the altitude of the triangle.
.
Remember, the area of a triangle is:
(1/2)bh
where
b is base
h is height or altitude
.
Since it is an equilateral triangle:
b = 24/3 = 8 m
.
area = (1/2)bh
16%2Asqrt%283%29+=+%281%2F2%29%288%29h
2%2Asqrt%283%29+=+%281%2F2%29h
4%2Asqrt%283%29+=+h
.
therefore,
altitude is 4%2Asqrt%283%29 meters