If the area of an equilateral triangle is 36\(\sqrt {3}\) sq. cm.  Find side of the triangle.

12 cm 14 cm 11 cm 10 cm

12 cm

Area of an equilateral triangle = \(\frac{\sqrt {3}}{4} a^2\) ⇒ 36\(\sqrt {3}\) =  \(\frac{\sqrt {3}}{4} a^2\) ⇒ 36 × 4 = a2 ⇒ a = 12 cm