The perimeter of an isosceles triangle is 45 cm, and one of its sides is 12 cm larger than the other. Find the sides of the triangle.

1. A, B, C – the vertices of the triangle.

2. By the condition of the problem, AB is more than AC by 12 centimeters. Therefore, AC = AB – 12.

3. Further calculations are performed using the formula for calculating the perimeter:

AC + AB + BC = 48 centimeters.

BC = AB, since the triangle is isosceles.

4. Substitute AB instead of BC and (AB – 12) instead of AC in the original expression:

AB – 12 + 2AB = 45.

3AB = 57.

AB = 57: 3 = 19 centimeters.

AC = 19 – 12 = 7 centimeters.

Answer: AB = BC = 19 centimeters, AC = 7 centimeters.