Question

Find the perimeter of equilateral triangle whose area is 600 meter square

Answer 1

Area= sqrt3/4*(side)^2
600=sqrt3/4* a^2
600*4*sqrt3/3=a^2
800sqrt3=a^2
a=sqrt800*3
=20sqrt6
Thus perimeter is
3*20sqrt6
60sqrt6 meter ans

Answer 2

$\huge\mathfrak{Solution:}$

Given that :-

1. equilateral triangle whose area is 600 meter square.

To find :-

1. The perimeter of equilateral triangle.

______________________________________

Solution :-

Area of equilateral triangle = √3/4 (side)²

Let side = a

→ 600 = √3/4 a²

→ 600 × 4 = √3 a²

→ a² = 2400/√3

→ a² = 800√3

→ a = 20√6

$\boxed{Therefore,}$

Perimeter of triangle = 3 × side

From above calculations side (a) = 20√6

→ Perimeter = 3 × 20√6

→ Perimeter = 60√6

•°• Perimeter of triangle is 60√6.