Question

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

(a) 32 cm²
(b) 64 cm²
(c) $16\sqrt{3}$ cm²
(d) $16\sqrt{2}$ cm²

Answer 1

(c) $16\sqrt{3}$ cm²

It is given that one side of an equilateral triangle is 8 cm.
∴ Area of the equilateral triangle = $\frac{\sqrt{3}}{4}{\left(\mathrm{Side}\right)}^2$ sq. units
= $\frac{\sqrt{3}}{4}{\left(8\right)}^2$ cm²
= $\left(\frac{\sqrt{3}}{4}\times 64\right)$ cm² = $16\sqrt{3}$ cm²