The perimeter of a triangle is 39, one side is 2 times larger than the second, and the third is 7 times

The perimeter of a triangle is 39, one side is 2 times larger than the second, and the third is 7 times larger than the first. find all sides.

1. Let’s denote the second side by x.

2. Determine the length of the first side of the triangle:

2 * x = 2x.

3. Find out the length of the third side of the triangle:

(2x + 7).

4. Let’s compose and solve the equation:

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

2x + 2x + 7 + x = 39;

5x + 7 = 39;

5x = 39 – 7;

5x = 32;

x = 32: 5;

x = 6.4.

5. The second side of the triangle is 6.4.

6. What is the first side?

2 * 6.4 = 12.8.

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

2 * 6.4 + 7 = 12.8 + 7 = 19.8.

Answer: the sides of the triangle are 12.8; 6.4; 19.8.