Question

solve this problem if you know how to find

Answer 1

area of equilateral triangle = 144√3 cm²
perimeter= ?
so,
area of equilateral triangle = √3 a²/ 4
so,
√3 a² / 4 = 144 √3 cm²
a² / 4 = 144√3 / √3 cm²
a²/ 4 = 144 cm²
a² = 144 × 4 cm²
a = (√144 × √4) cm
a = (12 × 2) cm
a = 24 cm
length of side of equilateral triangle is 24
so,
we know that all the angle of equilateral triangle are same. So all sides should be equal.
so,
perimeter = 3 . (Side)
= 3 . (24) cm
= 72 cm