The height of an equilateral triangle is 9√3 cm. What is the area of this equilateral triangle?

Question

Question

This question was previously asked in

SSC CGL 2022 Tier-I Official Paper (Held On : 07 Dec 2022 Shift 1)

Answer 1

Given:

Height of the equilateral triangle = 9√3

Formula used:

Height = a√3 / 2

Area = a²√3 / 4

Calculations:

According to the formula,

⇒ Height = a√3 / 2

⇒ 9√3 = a√3 / 2

⇒ a = 18 cm

Now area of the triangle

⇒ Area = a²√3 / 4

⇒ Area = \(\frac{18 \times 18 \times \sqrt3}{4}\)

⇒ Area = 81√3 cm²

⇒ Hence, The area of the equilateral triangle is 81√3 cm²