The perimeter of a triangle is 48 cm, the length of one of the sides of the triangle is 5/16 of the perimeter

The perimeter of a triangle is 48 cm, the length of one of the sides of the triangle is 5/16 of the perimeter, and the length of the second is 0.64 of the length of the first side, find the sides of the triangle.

First, we can calculate the length of the first side of the triangle, if we know from the condition of the problem that it is 5/16 of the perimeter of this triangle:

48 * 5/16 = 15 cm.

We also find the length of the second side, which is 0.64 times the length of the first side:

15 * 0.64 = 9.6 cm.

Thus, since we know the perimeter of this triangle and the lengths of its two sides, therefore, we can calculate the length of the third side:

48 cm – 15 cm – 9.6 cm = 23.4 cm.

Answer: The sides of the triangle are 15 cm, 9.6 cm and 23.4 cm.