SOLUTION: Express that area A of an equilateral triangle as a function of the perimeter P. My classmates and I have been trying to figure this out for two hours. The work is messy and comp

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Question 225950: Express that area A of an equilateral triangle as a function of the perimeter P. My classmates and I have been trying to figure this out for two hours. The work is messy and complicated or I would have put it on here.
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
if the perimeter is P, then one side is P/3

because half of the equilateral is a 30-60-90 right triangle; that makes the base P/3 and the height (P√3)/6

A = 1/2 * b * h = 1/2 * P/3 * (P√3)/6 = (P^2 * √3) / 36