Question

The area of an equilateral triangle with side $2\sqrt{3}cm$ is

Answer 1

Given: Side of an equilateral triangle $=2\sqrt{3}cm$

We know that,

Area of an equilateral triangle $=\frac{\sqrt{3}}{4}(side{)}^2$

$=\frac{\sqrt{3}}{4}(2\sqrt{3}{)}^2$


$=\frac{\sqrt{3}}{4}\times 4\times 3$

$=3\sqrt{3}$

$=3\times 1.732$

$=5.196c{m}^2$

Thus, the area of an equilateral triangle is $5.196c{m}^2.$

Hence, $\left(a\right)$ is the correct answer.