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9 June, 11:34

7. In triangle ABC, side AB is 2 cm shorter than side

AC, while side BC is 1 cm longer than AC. If the

perimeter is 62 cm, find the lengths of the 3 sides.

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Answers (1)
  1. 9 June, 11:46
    0
    AC = 21, AB = 19, and BC = 22

    Step-by-step explanation:

    If x is the length of AC, then:

    AB = x - 2

    BC = x + 1

    The perimeter is the sum of all three sides:

    62 = x + x - 2 + x + 1

    62 = 3x - 1

    63 = 3x

    x = 21

    Therefore:

    AC = 21, AB = 19, and BC = 22
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