Question

If the are of equilateral triangle is 16√3cm2 find its perimeter

Answer 1

Answer:

Given:

Area of equilateral ∆ = 16√3 m²

Let the side of equilateral ∆ = a m

Area of equilateral ∆ = (√3/4)a²

16√3 = (√3/4)a²

16√3 × (4/√3) = a²

64 = a²

a = √64

a =√ 8 × 8 = 8 m

Side of equilateral ∆ = 8 m

Perimeter of equilateral ∆ = 3 × side

Perimeter of equilateral ∆ = 3 × 8 = 24 m.

Hence, the perimeter of equilateral ∆ is 24 m.

HOPE THIS WILL HELP YOU....

Step-by-step explanation:

Answer 2

Answer:

Step-by-step explanation:

Area of an equilateral triangle is given by: root3/4a^2 sq.units........

=> 16root3= root3/4 a^2sq.units........

=> 16= a^2/4

=> a^2= 64

=> a= 8cm.......

Therefore, pm(equi tri)= Sum of three equal sides= 3a

=> 8*3= 24cm.........