The perimeter of an isosceles triangle abc is 30 cm, and one of the sides is 3 cm larger than the other.

The perimeter of an isosceles triangle abc is 30 cm, and one of the sides is 3 cm larger than the other. What can be the sides of a triangle abc?

An isosceles triangle is a triangle with equal sides. The perimeter of a triangle is equal to the sum of its three sides. Let’s solve the problem using an equation with one unknown.

1). The length of the base of a triangle is x centimeters.

2). The side of the triangle is (x + 3) centimeters.

3). Let’s compose and solve the equation.

x + (x + 3) + (x + 3) = 30;

x + x + 3 + x + 3 = 30;

x + x + x = 30 – 3 – 3;

3x = 24;

x = 24/3;

x = 8;

Answer: The base of the triangle is x = 8 centimeters. The sides of the triangle are x + 3 = 8 + 3 = 11 centimeters.