Question

If the area of equilateral triangle is 64?3 cm^2. Find the length of its side.

Answer 1

$$\begin{gathered} \mathrm{Let}\mathrm{the}\mathrm{length}\mathrm{of}\mathrm{each}\mathrm{side}\mathrm{of}\mathrm{equilateral}∆=\mathrm{s}\mathrm{cm} \\ \mathrm{Now},\mathrm{area}=64\sqrt{3}{\mathrm{cm}}^2 \\ \Rightarrow \frac{\sqrt{3}}{4}{\mathrm{s}}^2=64\sqrt{3} \\ \Rightarrow {\mathrm{s}}^2=256 \\ \Rightarrow \mathrm{s}=\sqrt{256}=16\mathrm{cm} \\ \mathrm{So},\mathrm{length}\mathrm{of}\mathrm{each}\mathrm{side}=16\mathrm{cm} \end{gathered}$$