Question

If the area of equilateral triangle is 36√3 cm². Find the side if a triangle.
1. 11 cm
2. 12 cm
3. 15 cm
4. 16 cm

Answer 1

Correct Answer - Option 2 : 12 cm

Given

Area of equilateral triangle = 36√3 cm²

Formula used

Area of a triangle = (√3/4) × (side)²

Calculation

36√3 = (√3/4) × (side)²

⇒ 144 = (side)²

⇒ √144 = side

⇒ 12 cm = side

∴ Side of an equilateral triangle is 12 cm.