The perimeter of the triangle is 48 cm, and one of the sides is 18 cm. Find the other two sides if their difference is 4.6 cm.

Let’s define the sum of the two remaining sides of the specified triangle:

48 – 18 = 30.

Let us denote by variable x the length of the first unknown side of the triangle.

Therefore, by the condition of the problem, we can express the length of the other unknown side of the triangle in terms of (x + 4.6).

Knowing that the sum of the two unknown sides is 30, we draw up an equation and determine the lengths of the two unknown sides of the triangle:

x + x + 4.6 = 30;

2x = 25.4;

x = 12.7;

12.7 + 4.6 = 17.3.

Answer: The lengths of the sides are 12.7 and 17.3 centimeters.