Question

The area of circle inscribed in an equilateral triangle is 154 sq cm. What is the perimeter of the triangle?

Answer 1

Answer:

I hope it helps you.

Step-by-step explanation:

Given that, area of a circle inscribed in an equilateral tringle = 154 cm2

∴ π(a/2√3)2 = 154

⇒ (a/2√3)2 = 154 x (7/22) = (7)a2

⇒ a = 42√3 cm

Perimeter of an equilateral triangle = 3a

= 3(14√3)

= 42√3 cm