The perimeter of a triangle is 52 feet. One side of the triangle is 6 feet longer than the second side. The third side is 1 foot longer than the second side. Find the length of each side.

The length of each side 21 feet, 15 feet and 16 feet.

Step-by-step explanation:

Consider the provided information.

It is given the perimeter of a triangle is 52 feet.

Let the second side is x.

One side of the triangle is 6 feet longer than the second side.

One side = x+6

The third side is 1 foot longer than the second side.

Third side = x+1

The perimeter of the triangle is the sum of all sides.

One side + Second side + Third side = 52

x+6+x+x+1 = 52

3x+7 = 52

3x = 45

x = 15

Thus, the length of the second side is 15 feet.

The length of one side x+6 = 21 feet.

The length of third side x+1 = 16 feet.

Hence, the length of each side 21 feet, 15 feet and 16 feet.

Answer: Side 1 = 21 ft Side 2=15 Side 3 = 16

Step-by-step explanation: Since the perimeter of a triangle is all of the sides added up. If you add 21+15+16 you would get 52 which is the perimeter of your triangle.