Question

The area of an equilateral triangle is 4√3 cm². The length of each of its sides is

(a) 3 cm (b) 4 cm (b) 2√3 cm (d) ½ √3 cm

Answer 1

(b) 4 cm

Because,

From the question is given that,

Area of an equilateral triangle is (4√3) cm²

Area of the equilateral triangle = ((√3)/4) × (sides)² sq. Units

= (4√3) = ((√3)/4) × (sides)²

= (sides)² = (4√3)/ (4/(√3)

= (sides)² = (4√3 × 4)/ √3

= (sides)² = 4 × 4

= Sides = √16

= Sides = 4 cm

Hence, the length of each side of the triangle is 4 cm.