If the area of an equilateral triangle is 45\(\sqrt {3}\) sq. cm. Find side of the triangle.
Answer & explanation
Correct answer: option 4
Area of an equilateral triangle = \(\frac{\sqrt {3}}{4} a^2\)
⇒ 45\(\sqrt {3}\) = \(\frac{\sqrt {3}}{4} a^2\)
⇒ 45 × 4 = a2
⇒ a = 6\(\sqrt {5}\) cm