Correct Answer - Option 2 : 192√3 cm
2
Given
Side of an equilateral triangle = 16√3 cm
Formula used
Area of an equilateral triangle = (√3/4) × (side)2
Calculation
Area of an equilateral triangle = (√3/4) × (16√3)2
⇒ (√3/4) × (16√3) × (16√3)
⇒ √3 × 4√3 × 16√3
⇒ 48 × 4 × √3
⇒ 192√3 cm2
∴ Area of an equilateral triangle is 192√3 cm2