Question

Area of circle inscribed in an equilateral triangle is 154 cm square find the perimeter of the triangle

Answer 1

A of circle = πr²

154 x 7/22 = r²

r² = 49

r = 7 cm

[According to a theorem, the diameter of a circle inscribed in a triangle(equilateral) equals to the side of the equilateral triangle}

so, side = 7cm

Perimeter of an equilateral triangle = 3 x side

P = 3 x 7

P = 21 cm.