Question

If the area of an equilateral triangle is 16√3 am then its perimeter is​

Answer 1

Given,

Area of equilateral triangle =16√3 cm²

Formula of area of equilateral triangle= √3/4×a²

√3/4 a²= 16√3

→ a² = 16×4

→ a= 8cm

Perimeter of equilateral ∆ is 3×a

= 3×8

= 24cm (answer)

Answer 2

Answer: 24 cm2

Step by step explanation:

Area of equilateral triangle=√3a^2/4

Given area= 16√3cm2

So, 16√3=√3a2/4

a2/4=16

a2=64

a=√64

a=8 cm. (a is side of triangle )

Perimeter of equilateral triangle=3*a

So, 3*8=24

Area of equilateral triangle =24cm2