If the area of an equilateral triangle is 40\(\sqrt {3}\) sq. cm. Find side of the triangle.
Answer & explanation
Correct answer: option 3
Area of an equilateral triangle = \(\frac{\sqrt {3}}{4} a^2\)
⇒ 40\(\sqrt {3}\) = \(\frac{\sqrt {3}}{4} a^2\)
⇒ 40 × 4 = a2
⇒ a = 4\(\sqrt {10}\) cm