Respuesta :

altitude=√3a/2=12(a the side of the equilateral triangle)
a=24/√3=8√3cm
perimetre=3a=3*8√3=24√3cm

The perimeter is the sum of the exterior sides of a shape. The exact perimeter of the triangle with an altitude of 12cm is 24√3cm

How to find the perimeter of a triangle?

The perimeter is the sum of the exterior sides of a shape.

The formula for calculating the altitude of an equilateral is given as:

A = √3a/2

Since A = 12cm, hence:

12 = √3a/2

√3a = 24
a = 8√3 cm

Determine the required perimeter

Perimeter of the triangle = 3(8√3)

Perimeter of the triangle = 24√3cm

Hence the exact perimeter of the triangle with an altitude of 12cm is 24√3cm

Learn more on perimeter of triangle here: https://brainly.com/question/24382052