# 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.**

Let’s solve this problem using the equation.

Let the length of the first side of the triangle be x centimeters, then the length of the second side (x + 8) centimeters, and the length of the third side (x + 4) centimeters. We know that the perimeter of this triangle is 54 centimeters. Let’s make the equation:

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

x + x + x + 12 = 54;

x + x + x = 54 – 12;

x + x + x = 42;

x * (1 + 1 + 1) = 42;

x * 3 = 42 (in order to find an unknown factor, you need to divide the product by a known factor);

x = 42: 3;

x = 14 centimeters – the length of the first side;

14 + 8 = 22 centimeters – the length of the second side;

14 + 4 = 18 centimeters – the length of the third side.

Answer: 14 centimeters; 22 centimeters; 18 centimeters.