Question

the perimeter of an equilateral triangle is root 3 times meters as the area of the equilateral triangle . find the length of each side .

Answer 1

Dear student
$$\begin{gathered} \mathrm{Perimeter}\mathrm{of}\mathrm{equilateral}△=\sqrt{3}\left(\mathrm{Area}\mathrm{of}\mathrm{equilateral}△\right) \\ \Rightarrow 3\mathrm{a}=\sqrt{3}\times \frac{\sqrt{3}}{4}{\mathrm{a}}^2\mathrm{where}\mathrm{a}\mathrm{is}\mathrm{a}\mathrm{side}\mathrm{of}\mathrm{an}\mathrm{equilateral}△ \\ \Rightarrow 3\mathrm{a}=\frac{3}{4}{\mathrm{a}}^2 \\ \Rightarrow \mathrm{a}=4[\mathrm{Length}\mathrm{of}\mathrm{each}\mathrm{side}] \end{gathered}$$
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