If the area of an equilateral triangle is 45\(\sqrt {3}\) sq. cm.  Find side of the triangle.

5\(\sqrt {5}\) cm 7\(\sqrt {5}\) cm  6\(\sqrt {6}\) cm  6\(\sqrt {5}\) cm

6\(\sqrt {5}\) cm

Area of an equilateral triangle = \(\frac{\sqrt {3}}{4} a^2\) ⇒ 45\(\sqrt {3}\) =  \(\frac{\sqrt {3}}{4} a^2\) ⇒ 45 × 4 = a2 ⇒ a = 6\(\sqrt {5}\) cm