If the area of an equilateral triangle is 18\(\sqrt {3}\) sq. cm.  Find side of the triangle.

6 cm 6\(\sqrt {2}\) cm 8 cm 9 cm

6\(\sqrt {2}\) cm

Area of an equilateral triangle = \(\frac{\sqrt {3}}{4} a^2\) ⇒ 18\(\sqrt {3}\) =  \(\frac{\sqrt {3}}{4} a^2\) ⇒ 18 × 4 = a2 ⇒ a = 6\(\sqrt {2}\) cm