The area of a circle inscribed in a regular triangle is 3п cm squared. Find the side of the triangle.

S circle = Pi * R ^ 2 => 3 * Pi = Pi * R ^ 2 => R = √ (3) Draw medians in the triangle (They are heights, they are mediatrists) (Since the triangle is equilateral) T. because the medians are divided by the intersection point in a ratio of 2 to 1 from the top => Median = 3 * R = 3 * √ (3) median / side = COS (30) => 3 * √ (3) / side = √ (3) / 3 => √ (3) * side = 3 * 3 * √ (3) => Side = 9
Answer: 9 cm