Question

Each side of an equilateral triangle measures 8 cm. Its area is
(a) $2\sqrt{3}{\mathrm{cm}}^2$
(b) $16\sqrt{3}{\mathrm{cm}}^2$
(c) 32 cm²
(d) 64 cm²

Answer 1

(b) $16\sqrt{3}{\mathrm{cm}}^2$

Let the side of the equilateral triangle be a.
Given:
a = 8 cm
Now,
Area of the equilateral triangle$=\frac{\sqrt{3}}{4}{a}^2=\frac{\sqrt{3}}{4}\times 8\times 8=16\sqrt{3}{\mathrm{cm}}^2$