Question

The measure of one side of an equilateral Δ is 30 cm. Its area is ______.

Options

• 225 cm²

• `225 sqrt(2)` cm²

• `225 sqrt(3)` cm²

• 450 cm²

Answer 1

The measure of one side of an equilateral Δ is 30 cm. Its area is `underlinebb(225 sqrt(3)  cm^2)`.

Explanation:

The area (A) of an equilateral triangle with side length (a) is given by the formula:

`A = sqrt(3)/4 a^2`

Here, a = 30 cm.

Calculating the area:

`A = sqrt(3)/4 xx 30^2`

= `sqrt(3)/4 xx 900`

= `225sqrt(3)  cm^2`

Hence, the area of the equilateral triangle is `225 sqrt(3)  cm^2`.