Question

If the area of the equilateral triangle is 25/3 square cm, then find its perimeter.
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Answer 1

Solution:

Area of Equilateral Triangle = (√3 a^2)/4

Given: A = 25/3 cm^2

Solution:

(√3 a^2)/4 = 25/3

a^2 = 25/3 * 4/√3

a^2 = 100/3√3

a = √(100/3√3)

a = 10/2.28 ≈ 4.39 cm

Now, the perimeter of equilateral triangle = P = 3a

P = 3(4.39) = 13.17 cm

Hope this will help you.