An equilateral triangle has area of 36 square root 3 square units. What is the side length?

The side length is 3.72 units

Step-by-step explanation:

Area A = √ (36) units

area of an equilateral triangles is

A = [√ (3) / 4] * s²

A = area

s = side length

√ (36) = [√ (3) / 4] * s²

Take the square of both sides

[√ (36) ]² = [ (√ (3) / 4) * s²]²

36 = (3/16) * s⁴

36 * 16 = 3s⁴

576 = 3s⁴

S⁴ = 576 / 3

S⁴ = 192

Take the fourth root of both sides

4√ (s⁴) = 4√ (192)

S = 3.72 units

The side length of the equilaterial triangle is 3.72 units