The perimeter of a triangle is 35 cm, find the length of its sides if one of them is 3 cm longer

| July 10, 2021 | education

The perimeter of a triangle is 35 cm, find the length of its sides if one of them is 3 cm longer than the other and 5 cm shorter than the third.

From the condition it is known that the perimeter of the triangle is 35 cm.And it is also known that one of the sides is 9 cm longer than the other and 5 cm shorter than the third.

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

Let us denote one of the sides by the variable x, then the length of the second can be written as (x – 9), and the third as (x + 5).

The perimeter of a triangle is the sum of the lengths of its sides:

P = a + b + c;

x + x – 9 + x + 5 = 35;

3x = 39;

x = 13 cm length of the first side, 13 – 9 = 4 cm length of the second and 13 + 5 = 18 cm length of the third.



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