Question

the area of an equilateral tri. is 36√3 sq.cm.Find the perimeter

Answer 1

Hi ,

Let the side of the equilateral triangle

= a cm

Area ( A ) = 36√3 sqcm

( √3/4 ) a² = 36√3

a² = ( 36√3 × 4 )/√3

a² = 36 × 4

a² = 144

a = √144

a = 12 cm

Perimeter of the equilateral triangle

= 3a

= 3 × 12 cm

= 36 cm

I hope this helps you.

:)

Answer 2

Length of each side of equilateral triangle = a

Area of equilateral triangle = (a²√3) / 4
36√3 cm² = (a²√3) / 4
Divide both sides by “√3”
36 cm² = a²/4
a² = 144 cm²
Square root on both sides
a = 12 cm

Perimeter of an equilateral triangle = 3a
= 3 × 12 cm
= 36 cm

∴ Perimeter of equilateral triangle is 36 cm