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One side of triangle is 4cm longer than the shortest side and 2cm shorter than the longest side. The perimeter is 38cm. Find the dimension of the triangle

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2 answers
  1. x = one side of triangle

    s = shortest side

    l = longest side

    P = perimeter

    Conditions:

    x = s + 4

    x - 4 = s

    s = x - 4

    x = l - 2

    x + 2 = l

    l = x + 2

    P = x + s + l = 38

    x + x - 4 + x + 2 = 38

    3 x - 2 = 38

    3 x = 38 + 2

    3 x = 40

    x = 40 / 3 cm = 13.333... cm

    s = x - 4

    s = 40 / 3 - 4

    s = 40 / 3 - 12 / 3

    s = 28 / 3 cm = 9.333... cm

    l = x + 2

    l = 40 / 3 + 2

    l = 40 / 3 + 6 / 3

    l = 46 / 3 cm = 15.333 cm

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  2. Shorter side = X cm.
    Medium side = x+4 cm.
    Longest side = x+6 cm.

    x + (x+4) + (x+6) = 38.
    X = 9.33 cm.
    x+4 = 13.33 cm.
    x+6 = 15.33 cm.

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