The perimeter of an isosceles triangle is 41 cm. Its base is 8 cm larger than the lateral side.

The perimeter of an isosceles triangle is 41 cm. Its base is 8 cm larger than the lateral side. Calculate the lengths of the sides of the triangle.

Since the sides are equal in an isosceles triangle, we denote the sides by the letter x, then x + 8 is the base, then we make the equation:

x + x + x + 8 = 41;

3x = 33;

x = 11;

Therefore, the sides are 11 centimeters, and the base will be 11 + 8 = 19 centimeters.

Answer: the sides are 11 centimeters; base – 19 centimeters.