One side of the triangle is 2.5 times smaller than the second and 16 cm smaller than the third.

One side of the triangle is 2.5 times smaller than the second and 16 cm smaller than the third. Find the sides of the triangle if its perimeter is 52 cm.

Let one side of the triangle x cm, then the second 2.5x cm and the third (x + 16) cm.By the condition
x + 2.5x + x + 16 = 52;
4.5x = 36;
x = 8.
So the sides of the triangle are 8 cm, 8 * 2.5 = 20 (cm), 8 + 16 = 24 (cm).
Answer: 8 cm, 20 cm, 24 cm.