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.

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.