In a triangle, one side is 8 cm less than the other and 4 cm less than the third.

In a triangle, one side is 8 cm less than the other and 4 cm less than the third.Find the lengths of the sides of the triangle if its perimeter is 54 cm.

The solution of the problem:

We will solve the problem using an equation with one unknown.

1. One side of a triangle is x centimeters.

2. The other side of the triangle is (x + 8) centimeters.

3. The third side of the triangle is (x + 4) centimeters.

4. Let’s compose and solve the equation.

x + (x + 8) + (x + 4) = 54;

x + x + 8 + x + 4 = 54;

x + x + x = 54 – 8 – 4;

3x = 42;

x = 14;

Answer: One side of the triangle is 14 centimeters, the other side is x + 8 =

= 14 + 8 = 22 centimeters, the third side is x + 4 = 14 + 4 = 18 centimeters.