SOLUTION: an equilateral triangle has an area of 36 times the square root of 3. What is the length of one of the sides of the triangle?

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Question 338483: an equilateral triangle has an area of 36 times the square root of 3. What is the length of one of the sides of the triangle?
Found 2 solutions by mananth, fractalier:
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
let side be a
area of equilateral triangle A+=+%28%28sqrt%283%29%2F4%29+%2Aa%5E2%29
%28sqrt%283%29%2F4%29%2A+a%5E2%29%29=%2836%2Asqrt%283%29%29
multiply by 4%2Fsqrt%283%29
a^2=4*36
take square root
a= 2*6
a=12

Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
A quick formula for the area of an equilateral triangle is
A = [s^2 * sqrt(3)} / 4
now set that equal to 36 * sqrt(3)
[s^2 * sqrt(3)} / 4 = 36 * sqrt(3) and solve for s
s^2 * sqrt(3) = 144 * sqrt(3)
s^2 = 144
s = 12