Question

Find the area of the equilateral triangle if its side is $7cm.$

Answer 1

Finding the area of the equilateral triangle:

Area of the equilateral triangle=$\frac{\sqrt{3}}{4}{a}^{2}sq.units\mathrm{where}\mathrm{a}\mathrm{is}\mathrm{the}\mathrm{side}\mathrm{of}\mathrm{triangle}.$

$$\begin{gathered} =\frac{\sqrt{3}}{4}\times 7\times 7 \\ =\frac{49}{4}\times \sqrt{3} \\ =12.25\times 1.732 \\ =21.217c{m}^2. \end{gathered}$$

Hence the area of the equilateral triangle is $21.217c{m}^2.$