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11 October, 14:44

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).

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  1. 11 October, 16:27
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    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
  2. 11 October, 16:39
    0
    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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