The base of a triangle is one-third as long as its height. If the area of the triangle is 54 square meters, how long is its base
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1 answer:
The area of a triangle is given by the formula b * h, where b is the base and h is the height.
We know that the base of the triangle is one third of the height.
Therefore the base = h/3
The area is 54 square metres.
h/3 * h /2 = 54
gives
h^2/6 = 54
Multiply both sides by 6 to remove the denominator
h^2=324
h = square root of 324 = 18.
b = h/3
b = 18/3
b = 6
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