If the area of an equilateral triangle is 72\(\sqrt {3}\) sq. cm.  Find side of the triangle.

12\(\sqrt {3}\) cm 12\(\sqrt {2}\) cm 14\(\sqrt {2}\) cm 13\(\sqrt {2}\) cm

12\(\sqrt {2}\) cm

Area of an equilateral triangle = \(\frac{\sqrt {3}}{4} a^2\) ⇒ 72\(\sqrt {3}\) =  \(\frac{\sqrt {3}}{4} a^2\) ⇒ 72 × 4 = a2 ⇒ a = 12\(\sqrt {2}\) cm