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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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