The perimeter of a triangle is 33 and its sides are expressed in consecutive integers. Calculate the sides of the triangle.

1. Vertices of triangle A, B, C.

2. The length of the side AB is taken as x (units of length).

3. Since the lengths of the sides of a given triangle are equal to consecutive numbers,

BC = (x + 1) units of length, AC = (x + 2) units of length.

4. Let’s make the equation:

x + (x + 1) + (x + 2) = 33;

3x + 3 = 33;

x = 10 units of length.

AB is equal to 10 units of length.

BC = 10 + 1 = 11 units of length.

AC = 10 + 2 = 12 units of length.

Answer: AB = 10 units of length, BC = 11 units of length, AC = 12 units of length.