The perimeter of the triangle is 54 cm, and one of the sides is 20 cm. Find the other two sides if their difference is 6.2 cm.

We start solving the problem by analyzing the condition and determining the solution method.

So, the condition says that the perimeter of the triangle is 54 cm, and one of the sides is 20 cm.And it is also known that the difference between the other two sides is 6.2 cm.

Let’s apply the formula for finding the perimeter of a triangle.

P = a + b + c (the sum of the lengths of the sides of the triangle).

We denote by x cm one of the unknown sides, then the length of the second can be written as x + 6.2 cm.

We get the equation:

20 + x + x + 6.2 = 54;

2x = 54 – 20 – 6.2;

2x = 27.8;

x = 13.9 cm and 13.9 + 6.2 = 20.1 cm.