One side of a triangle is 2 times the second side. The third side is 5 feet longer than the second side. The perimeter of a triangle is 49 feet. Find the length of each side.

The first side is 22 feet

The second side is 11 feet

The third side is = 16 feet

Step-by-step explanation:

Let x represent the length of the second side of the triangle.

One side of a triangle is 2 times the second side. It means that the length of the first side of the triangle is 2x feet.

The third side is 5 feet longer than the second side. It means that the length of the third side of the triangle is (x + 5) feet

The formula for determining the perimeter of a triangle is expressed as

Perimeter = a + b + c

Where

a,b and c are the length of each side of the triangle. The perimeter of the given triangle is 49 feet. Therefore,

2x + x + x + 5 = 49

4x = 49 - 5

4x = 44

x = 44/4

x = 11

The first side is 11 × 2 = 22 feet

The third side 11 + 5 = 16 feet