Question

The area of an equilateral triangle is 4$\sqrt{3}$ cm². The length of each of its side is

(a) 3 cm (b) 4 cm (c) 2$\sqrt{3}$ cm (d) $\frac{\sqrt{3}}{2}$ cm

Answer 1

$$\begin{gathered} \mathrm{Area}\mathrm{of}\mathrm{equilateral}\mathrm{triangle}=\frac{{\left(\mathrm{Side}\right)}^2\sqrt{3}}{4} \\ \Rightarrow 4\sqrt{3}=\frac{{\left(\mathrm{Side}\right)}^2\sqrt{3}}{4} \\ \Rightarrow {\left(\mathrm{Side}\right)}^2=16 \\ \Rightarrow \mathrm{Side}=4\mathrm{cm} \end{gathered}$$
Hence, the correct option is (b).