Question

find the perimeter of an equilateral triangle whose area is 25 root 3 metre square

Answer 1

the perimeter of this triangle is 30m.

Answer 2

The perimeter of the equilateral triangle is 30 m.

Given:

An equilateral triangle of area 25√3 m².

To Find:

The perimeter of the given equilateral triangle.

Solution:

Let us assume that 'a' is the side of the equilateral triangle.

Then, the area of the equilateral triangle = √3a²/4.

We have been given that the area of the triangle is 25√3 m².

⇒ √3a²/4 = 25√3

⇒ a²/4 = 25

⇒  a² = 100 = 10²

⇒ a = √10² = 10

Hence, each side of the equilateral triangle is of 10 m.

Now perimeter of the equilateral triangle = 3(side) = 3a = 3 x 10 = 30 m.

∴ The perimeter of the equilateral triangle is 30 m.

#SPJ3