The sides of a triangle are 7, 13, 8. Find the sides of another triangle, similar to this one, if its perimeter is 56.

Let’s find the sum of the lengths of all sides of this triangle.

In the initial data for this task, it is reported that the lengths of the sides of this triangle are 7, 13 and 8, therefore, the sum of the lengths of all the sides of this triangle is 7 + 13 + 8 = 20 + 8 = 28.

Find the coefficient of similarity of two given triangles.

According to the condition of the problem, the perimeter of the second triangle is 56, therefore, the similarity coefficient is 56/28 = 2.

Knowing the coefficient of similarity, we find the lengths of the sides of the second triangle:

7 * 2 = 14;

13 * 2 = 26;

8 * 2 = 16.

Answer: 14, 26 and 16.