Question

find the perimeter of an equilateral triangle whose area is 24√3m²​

Answer 1

answer

An equilateral triangle has its sides equal.

Perimeter of an equilateral triangle=3a where a is length of the side

Given 75=3a

 

⇒3a=75

⇒a=375=25cm

∴ Side of the equilateral triangle=25cm

Answer 2

Step-by-step explanation:

Let side of equilateral triangle be 'a' m.

Area of equilateral triangle=24√3m²

(√3/4)a^2=24√3m²

a^2=24√3m²*4

√3

a^2=96

a=√96=4√6m

Perimeter of equilateral triangle=3*4√6

=12√6