Question

Each side of an equilateral triangle is 8 cm. Its area is
(a) 24 cm²
(b) $24\sqrt{3}{\mathrm{cm}}^2$
(c) $16\sqrt{3}{\mathrm{cm}}^2$
(d) $8\sqrt{3}{\mathrm{cm}}^2$

Answer 1

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

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