An equilateral triangle has an altitude of 15m. What is the perimeter of the triangle?

Solution:

Given: Altitude of an equilateral triangle = 15m

We know that altitude of an equilateral triangle h = √3(side length)/2

15 = √3(side length) /2

15 × 2 = √3(side length)

30 = √3(side length)

Side length = 30/√3

Side = 10√3 m

Perimeter of equilateral triangle is 3 times the side length

P= 3a = 3(10√3 m) = 30√3m.

Therefore, the perimeter of the traingle is 30√3m.

An equilateral triangle has an altitude of 15m. What is the perimeter of the triangle?

Summary:

If an equilateral triangle has an altitude of 15m, then the perimeter of the triangle is 30√3m.