Question

Each side of an equilateral triangle is 8 cm. Its area is ______.

Options

• 24 cm²

• `24sqrt(3)` cm²

• `16sqrt(3)` cm²

• `8sqrt(3)` cm²

Answer 1

Each side of an equilateral triangle is 8 cm. Its area is `underlinebb(16sqrt(3)  cm^2)`.

Explanation:

For an equilateral triangle with side a, area = `(sqrt(3)/4) a^2`. 

With a = 8: Area = `(sqrt(3)/4) xx 8^2` 

= `(sqrt(3)/4) xx 64` 

= `16sqrt(3)  cm^2 (≈ 27.71  cm^2)`