The perimeter of the triangle is 99cm. One side is 9cm longer than the other and 2

The perimeter of the triangle is 99cm. One side is 9cm longer than the other and 2 times longer than the third. Find the lengths of the sides of the triangle?

1. Imagine that one side of the triangle is x cm, then the second is x – 9 cm, and the length of the third side is x / 2 cm. Now we add all three sides and get a perimeter of 99 cm. Let’s solve the equation:
x + x – 9 + x / 2 = 99,
2x + x / 2 – 9 = 99,
4x / 2 + x / 2 = 99 + 9,
6x / 2 = 108,
3x = 108,
x = 108/3,
x = 36 cm.
2. Determine the length of the second and third sides:
Second = 36 – 9 = 27 cm.
Third = 36/2 = 18 cm.
Answer: The first side of the triangle is 36 cm, the second is 27 cm, and the third is 18 cm.