The perimeter of a triangle is 47 feet. One side of the triangle is one foot longer than the second side. The third side is four feet longer than the second side. Find the lengths of all three sides (in feet).

The lengths of all three sides (in feet) are = 15, 14, and 18 feet

Step-by-step explanation:

Perimeter of Triangle = 47ft

Let the one side be 'x'

Side 1 = x

One side of the triangle is one foot longer than the second side

Side 2 = x - 1

The third side is four feet longer than the second side

Side 3 = (x - 1) + 4

Perimeter = sum of all sides

47 = x + (x - 1) + (x - 1) + 4

47 = x + x - 1 + x - 1 + 4

47 = 3x + 2

47 - 2 = 3x

45 = 3x

x = 15

substitute for x in each of the sides

Side 1 = x                   => 15 feet

Side 2 = x - 1              => 15 - 1 = 14 feet

Side 3 = (x - 1) + 4      => 14 + 4 = 18 feet

Step-by-step explanation:

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

The perimeter of a plane figure is the distance around figure. 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

One side of the triangle is one foot longer than the second side. This means that the length of the second side is x - 1

The third side is four feet longer than the second side. This means that the length of the third side is

x - 1 + 4

The perimeter of a triangle is 47 feet. This means that

x + x - 1 + x - 1 + 4 = 47

3x + 2 = 47

3x = 47 - 2 = 45

x = 45/3 = 15 feet

The length of the second side is

15 - 1 = 14 feet.

The length of the third side is

15 - 1 + 4 = 18 feet

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