The sum of the first and second sides of the triangle is 37 cm, the second and third sides are 41 cm

The sum of the first and second sides of the triangle is 37 cm, the second and third sides are 41 cm, the first and third sides are 32 cm. What is the perimeter of the triangle?

The solution of the problem:
1. The sum of all three sides of the triangle, that is, the perimeter is x centimeters.
2. Find out what the third side of the triangle is.
(x – 37) cm.
3. What is the first side of the triangle?
(x – 41) cm.
4. What is the second side of the triangle?
(x – 32) cm.
5. Let’s compose and solve the equation.
(x – 37) + (x – 41) + (x – 31) = x;
x – 37 + x -41 + x – 32 = x;
3x – 110 = x;
3x – x = 110;
2x = 110;
x = 110/2;
x = 55;
6. Find the perimeter of the triangle, which is x centimeters. x = 55.
Answer: The perimeter of a triangle is 55 centimeters.