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27 September, 04:09

The shortest side of a triangle measures 15 inches less than the longest side. If the third side is 2 inches shorter than the longest side and the perimeter is 103 inches, find the measure of the 3 sides.

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  1. 27 September, 04:26
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    Step-by-step explanation:

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

    The shortest side of a triangle measures 15 inches less than the longest side. It means that the length of the shortest side is x - 15.

    If the third side is 2 inches shorter than the longest side, it means that the length of the third side is

    x - 2

    The formula for determining the perimeter of a triangle is

    Perimeter = a + b + c

    Where a, b and c are the lengths of each side of the triangle. The perimeter of the triangle is 103 inches. It means that

    x + x - 15 + x - 2 = 103

    3x - 17 = 103

    3x = 103 + 17 = 120

    x = 120/3

    x = 40

    The length of the longest side is

    40 inches

    The length of the third side is

    40 - 2 = 38 inches

    The length of the shortest side is

    40 - 15 = 25 inches
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