Question

The area of an equilateral triangle with side `2sqrt(3)` cm is ______.

पर्याय

• 5.196 cm² 

• 0.866 cm²

• 3.496 cm²

• 1.732 cm²

Answer 1

The area of an equilateral triangle with side `2sqrt(3)` cm is 5.196 cm².

Explanation:

Area of an equilateral triangle of side a is given by `sqrt(3)/4 a^2`

Given that `a = 2sqrt(3)`

Area (Δ) = `sqrt(3)/4 a^2`

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

= `sqrt(3)/4 xx 12`

= `3sqrt(3)`

= 5.196 cm²