The perimeter of an isosceles triangle is 41 cm, find the sides if the base is 5 cm larger.

1. Let us denote the length of the lateral side by x.

2. Determine the length of the base:

(x + 5) cm.

3. Let’s compose and solve the equation:

x + x + (x + 5) = 41;

x + x + x + 5 = 41;

3x + 5 = 41;

3x = 41 – 5;

3x = 36;

x = 36: 3;

x = 12.

4. The length of the lateral side is x = 12 cm.

Answer: the sides of an isosceles triangle are 12 cm each.