SOLUTION: Given that the area of an equilateral triangle is 310 cm2, find its perimeter.

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Question 1185478: Given that the area of an equilateral triangle is 310 cm2, find its perimeter.
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
the formula for the area of an equilateral triangle is:

A = sqrt(3)/4 * s^2

A is the area.
s is the length of a side.

when A = 310, the formula becomes:

310 = sqrt(3)/4 * s^2

multiply both sides of the equation by 4 and divide both sides of the equation by sqrt(3) to get:

310 * 4 / sqrt(3)= s^2

solve for s to get:

s = sqrt(310 * 4 / sqrt(3)) = 26.75657552.

the perimeter of the triangle would be 3 * sqrt(310 * 4 / sqrt(3)) = 80.26972657.

round as you see fit.