One side of the triangle is twice as large as the other and 9 cm longer than the third. The perimeter is 99 cm.

One side of the triangle is twice as large as the other and 9 cm longer than the third. The perimeter is 99 cm. Find the sides of the triangle.

The solution of the problem:

1. Let’s take as the length of the first side of the triangle the length equal to x centimeters.

2. Then the second side will be equal to (x * 2) = 2x centimeters.

3. The third party will be equal. (2x – 9) centimeters.

4. Since we know the perimeter of this triangle, let’s make an equation and find the length of its first side.

x + 2x + (2x – 9) = 99;

5x – 9 = 99;

5x = 99 + 9;

5x = 108;

x = 108/5;

x = 21.6 cm.

5. Find the length of the second side of the triangle.

21.6 * 2 = 43.2 cm.

6. Find the length of the third side of the triangle.

36 – 9 = 34.2 cm.

Answer: The lengths of the sides of the triangle are 21.6 cm, 43.2 cm, 34.2 cm.