Question

Find the area of the equilateral triangle, if side is 6 cm.
1. 3√3 cm²
2. 6√3 cm²
3. 9√3 cm²
4. 12√3 cm²

Answer 1

Correct Answer - Option 3 : 9√3 cm²

Given:

The side of the equilateral triangle is 6 cm

Formula used:

Area = (√3/4) × a²

where, a is the side of an equilateral triangle

Calculations:

According to the question, we have

Area = (√3/4) × a2  

⇒ Area = (√3/4) × (6)²

⇒ Area = (√3/4) × 36

⇒ Area = 9√3 cm²

∴ The area of the equilateral triangle is 9√3 cm2.