What is the perimeter of an equilateral triangle with an area of 100√3 square feet?

1 Answer
Mr. Hsia
May 21, 2018

Perimeter is 60 feet

Explanation:

Area of Equilateral Triangle = #sqrt(3)/4 * (side)^2#
#100sqrt(3) = sqrt(3)/4 * x^2#
#400sqrt(3) = sqrt(3) * x^2#
#400 = x^2#
#x = sqrt(400) = 20#

Each side is 20 feet.

Perimeter is #3 * 20 = 60# feet

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