The perimeter of a triangle is 27 cm, what is the length of the sides, if the second side is 2 cm

The perimeter of a triangle is 27 cm, what is the length of the sides, if the second side is 2 cm longer than the first, and the third is 4 cm shorter than the second?

Let’s make an equation in which we denote the second side of the triangle as x cm.

Since it is 2 cm longer than the first, the length of the first side will be: (x – 2) cm.

Since the third side is 4 cm shorter than the second, its length will be: (x – 4) cm.

The sum of all sides of a triangle is equal to its perimeter.

We get the equation:

x – 2 + x + x – 4 = 27.

3 * x = 27 + 2 + 4.

3 * x = 33.

x = 33/3 = 11 cm (length of the second side).

x – 2 = 11 – 2 = 9 cm (length of the first side).

x – 4 = 11 – 4 = 7 cm (length of the third side).

Answer: 9, 11 and 7 cm, respectively.