One of the sides of the triangle is 2 times smaller than the second and 7 cm smaller

One of the sides of the triangle is 2 times smaller than the second and 7 cm smaller than the third. Find the sides of the triangle if its perimeter is 39 cm.

1. Let’s denote the first side of the triangle by x.

2. Find out the length of the second side of the triangle:

2 * x = 2x cm.

3. Determine the length of the third side of the triangle:

(x + 7) cm.

4. Let’s compose and solve the equation

x + 2x + (x + 7) = 39;

x + 2x + x + 7 = 39;

4x + 7 = 39;

4x = 39 – 7;

4x = 32;

x = 32: 4;

x = 8.

5. The first side of the triangle is x = 8 cm.

6. What is the second side of the triangle?

2 * x = 2 * 8 = 16 cm.

7. How long is the third side of the triangle?

x + 7 = 8 + 7 = 15 cm.

Answer: the sides of the triangle are 8 cm, 16 cm, 15 cm.