Question

If all sides of a triangle are equal, it is called an equilateral triangle. In what all ways can we express the relation between the length of the side of an equilateral triangle and its perimeter?

Shorten them using letters.

Answer 1

Let the length of each side of the equilateral triangle be denoted by a.

Let the perimeter of the triangle be denoted by p.

We know that the perimeter of a triangle is equal to the sum of all its sides.

As all the sides of an equilateral triangle are equal:

p = a + a + a

⇒ p = 3 a

⇒a =