The perimeter of an isosceles triangle is 25 cm. Find the lengths of the sides of the triangle

The perimeter of an isosceles triangle is 25 cm. Find the lengths of the sides of the triangle if its side is 5 cm larger than the base.

1. Let the length of the base of this isosceles triangle be x centimeters. Then each of the lateral sides will be equal to:

(x + 5) centimeters.

2. Perimeter is the sum of the lengths of the sides. Knowing that the perimeter of this triangle is 25 centimeters, we will compose and solve the equation:

x + 2 (x + 5) = 25;

x + 2x + 10 = 25;

3x = 15;

x = 5 centimeters base length.

3. Each of the lateral sides is equal to:

5 + 5 = 10 centimeters.

Answer: The sides of an isosceles triangle are 5 centimeters, 10 centimeters, and 10 centimeters.