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Solution


To find:
    • Which among the given answer choices can be the side lengths of a triangle

Approach and Working:
    • We know that, in a triangle,
      o Sum of any two sides is greater than the third side
      o Difference between any two sides is less than the third side
        I) 3, 3, 5
          3 + 3 > 5
          3 + 5 > 3
          3 – 3 < 5
          5 – 3 < 3
        Thus (I) can be the sides of a triangle

        II) 6, 6, 12
          6 + 6 = 12
        Thus (II) cannot be the sides of a triangle

        III) 1, 2, 3
          1 + 2 = 3
        Thus (III) cannot be the sides of a triangle

Hence, the correct answer is Option A

Answer: A

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