The perimeter of the triangle is 40 cm. The first side is 2 cm longer than the second, and the third

| September 3, 2021 | education

The perimeter of the triangle is 40 cm. The first side is 2 cm longer than the second, and the third is 3 cm longer than the first. Find the length of the triangle.

In order to find the lengths of the sides of a triangle, we compose and solve a linear equation.

We know that the perimeter of a triangle is 40 cm. The first side is 2 cm longer than the second, and the third is 3 cm longer than the first.

Let’s denote by the variable x cm – the length of the second side of the rectangle, then the length of the first side can be written as (x + 2) cm, and the length of the third side as (x + 2 + 3) = (x + 5) cm.

The perimeter is the sum of the lengths of all sides of the rectangle.

P = a + b + c;

x + (x + 2) + (x + 5) = 40;

x + x + 2 + x + 5 = 40;

3x + 7 = 40;

3x = 40 – 7;

3x = 33;

x = 11 cm the length of the second side of the triangle;

11 + 2 = 13 cm – the length of the first side;

11 + 5 = 16 cm – the length of the third side.



One of the components of a person's success in our time is receiving modern high-quality education, mastering the knowledge, skills and abilities necessary for life in society. A person today needs to study almost all his life, mastering everything new and new, acquiring the necessary professional qualities.