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?

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) (Show Source): You can put this solution on YOUR website!
let side be a
area of equilateral triangle
=
multiply by
a^2=4*36
take square root
a= 2*6
a=12
Answer by fractalier(6550) (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
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