Question

The area of a circle inscribed in an equilateral triangle is 154 cm². Find the perimeter of the triangle.

Answer 1

Answer:

Step-by-step explanation:

area of equilateral triangle=√3÷4a²

154=√3÷4

154 x 4=√3a²

616=√3a²

(2√6)²=√3a²

2√6=√3a

2√6÷√3=a

2√2=a

perimeter of equilateral triangle=3a

p.of equialarteral triangle=3 x 2√2

p. of equilateral triangle=6√3