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      Question

      AD is the median of triangle ABC. P is the centroid of

      triangle ABC. If AP = 14 cm, then what is the length of PD?
      A 7 cm Correct Answer Incorrect Answer
      B 14 cm Correct Answer Incorrect Answer
      C 21 cm Correct Answer Incorrect Answer
      D 28 cm Correct Answer Incorrect Answer

      Solution

      Given: AD is the median of triangle ABC. P is the centroid of triangle ABC. If AP = 14 cm Concept used: The centroid of the triangle divides each of its median in the ratio 2:1. Calculation: AP/PD = 2/1 14/ PD = 2/1 PD = 14/2 PD = 7cm

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