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    Question

    Given a triangle with two sides measuring 12 cm and 16

    cm, which of the following cannot be a possible length for the third side?
    A 3 cm Correct Answer Incorrect Answer
    B 6 cm Correct Answer Incorrect Answer
    C 15 cm Correct Answer Incorrect Answer
    D 24 cm Correct Answer Incorrect Answer

    Solution

    If 'a' and 'b' are the two sides of a triangle then third side must satisfy the following condition:

    (a - b) < third side < (a + b)

    So, (16 - 12) < third side < (16 + 12)

    Or, 4 < third side < 28

    3 cm does not follow the above condition. So, length of third side of the given triangle cannot be 3 cm.

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