Perimeter of equilateral triangle from its area

Question

In an exercise, I have to answer the perimeter of a equilateral triangle knowing that its area is $$\sqrt{3}$$

How can I achieve it? I tried inventing equations, but all dead ends. Please explain.

Answer 1

If an equilateral triangle has side length $d$, the length of every heigth is given by $\frac{\sqrt{3}}{2}d$ by the pythagorean theorem, hence the area is $\frac{\sqrt{3}}{4}d^2$ and the perimeter is $3d$. Hence, if the area equals $\sqrt{3}$, the perimeter equals $6$.