# One side of the triangle is 7 times smaller than the second and 66 cm smaller than the third

**One side of the triangle is 7 times smaller than the second and 66 cm smaller than the third. Find the sides of a triangle if its perimeter is 174 cm.**

Let’s solve this problem using the equation.

1) Let the length of the first side of the triangle be x centimeters, then the length of the second side is 7 * x centimeters, and the length of the third side (x + 66) centimeters. We know that the perimeter of the triangle is 174 centimeters. Let’s make the equation:

x + 7 * x + x + 66 = 174;

x + 7 * x + x = 174 – 66;

x + 7 * x + x = 108;

9 * x = 108;

x = 108: 9;

x = 12 centimeters – the length of the first side of the triangle;

2) 12 * 7 = 84 centimeters – the length of the second side of the triangle;

3) 12 + 66 = 78 centimeters – the length of the third side of the triangle.

Answer: 12 centimeters; 84 centimeters and 78 centimeters.