If the area of an equilateral triangle is 50\(\sqrt {3}\) sq. cm.  Find side of the triangle.

12\(\sqrt {2}\) cm 9\(\sqrt {2}\) cm 11\(\sqrt {2}\) cm 10\(\sqrt {2}\) cm

10\(\sqrt {2}\) cm

Area of an equilateral triangle = \(\frac{\sqrt {3}}{4} a^2\) ⇒ 50\(\sqrt {3}\) =  \(\frac{\sqrt {3}}{4} a^2\) ⇒ 50 × 4 = a2 ⇒ a = 10\(\sqrt {2}\) cm