One side of the triangle is 14 cm less than the other and two times smaller than the third.

One side of the triangle is 14 cm less than the other and two times smaller than the third. Find the sides of the triangle if the perimeter is 122 cm.

Let’s denote the length of the smallest side of the triangle by x cm.

Then the lengths of the other two sides of this triangle are (x + 14) cm and 2x cm, respectively.

The perimeter of a triangle is equal to the sum of its three sides:

x + (x + 14) + 2x = 122;

4x + 14 = 122;

4x = 108;

x = 27.

So, the lengths of the sides of the triangle are 27 cm, 27 + 14 = 41 cm and
27 * 2 = 54 cm.

Answer: 27 cm; 41 cm vs 54 cm.