The perimeter of a triangle is 65 meters. The second side is 5 meters than less than the first side .The third side is 7 meters more than the first side . What is the length. Of each side

Respuesta :

Answer: the length of the sides are 21m, 16m and 28 feet

Step-by-step explanation:

Let x represent the length of the first side.

Let y represent the length of the second side.

Let z represent the length of the third side.

The perimeter of a triangle is 65 meters. It means that

x + y + z = 65- - - - - - - - - - 1

The second side is 5 meters less than the first side. It means that

y = x - 5

The third side is 7 meters more than the first side. This means that

z = x + 7

Substituting y = x - 5 and z = x + 7 into equation 1, it becomes

x + x - 5 + x + 7 = 65

3x + 2 = 65

3x = 65 - 2 = 63

x = 63/3

x = 21

y = 21 - 5 = 16

z = 21 + 7 = 28