The perimeter of the triangle is 106 cm, one of the sides is 1.7 times larger than the other.

The perimeter of the triangle is 106 cm, one of the sides is 1.7 times larger than the other. The third side is 25 cm. Find the lengths of the sides of the triangle.

Let the first side of the triangle be x cm, then the second will be 1.7x cm. Knowing the value of the perimeter of the triangle is 106 cm, the length of the third side is 25 cm, and also that the perimeter is the sum of all sides, we can draw up an equation and solve it:

x + 1.7x + 25 = 106;

2.7x = 106 – 25;

2.7x = 81;

x = 81 / 2.7;

x = 30.

If x = 30, then the first side is 30 cm and the second 51 cm.

Answer: 30 cm and 51 cm.

Verification:

30 + 51 + 25 = 106;

106 = 106.