The perimeter of an isosceles triangle ABC is 30 cm, and one of the sides

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?

1. Let’s denote the length of the base of the triangle through x centimeters.
2. The second and third sides of the triangle are equal to (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;
4. The length of the base of the triangle is x = 8 centimeters.
5. Let us calculate what the length of the lateral side of an isosceles triangle is equal to.
x + 3 = 8 + 3 = 11 centimeters.
Answer: One side of an isosceles triangle is 8 cm. The second is 11 cm. The third is 11 cm.