# One side of the triangle is 24cm, the other side is 18cm larger than the first

**One side of the triangle is 24cm, the other side is 18cm larger than the first, and the third side is half the size of the other. Find the perimeter of the triangle.**

Find the length of the second side of this triangle.

According to the condition of the problem, the length of the first side of this triangle is 24 cm, the second side of this triangle is 18 cm longer than its first side, therefore, the length of the second side is 18 + 24 = 42 cm.

Find the length of the third side of this triangle.

According to the condition of the problem, the third side of this triangle is half the size of its second side, therefore, the length of the third side is 42/2 = 21 cm.

Find the perimeter P of this triangle.

P = 24 + 42 + 21 = 87 cm.

Answer: the perimeter of this triangle is 87 cm.