Answer:
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
