The perimeter of triangle ABC is 24 cm, side AB is 4 cm longer than side BC, AB = 10 cm. Find the length of side AC.

We will solve this task in steps and explain each of them in detail.
1) 10 – 4 = 6 centimeters – the length of the BC side, since it is 4 centimeters shorter than the AB side, and the AB side length is 10 centimeters;
2) 10 + 6 = 16 centimeters – the lengths of the sides BC and AB, so the length of the AB side is 10 centimeters, and the length of the BC side is 6 centimeters;
3) 24 – 16 = 8 centimeters – the length of the AC side, since the perimeter of the ABC triangle is 24 centimeters, and the sum of the lengths of its sides BC and AB is 16 centimeters.
Answer: 8 centimeters.