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      Question

      In ΔABC, PQ is parallel to BC If AP: PB=1:2 and AQ=3

      cm, AC is equal to?
      A 9 cm Correct Answer Incorrect Answer
      B 25 cm Correct Answer Incorrect Answer
      C 16 cm Correct Answer Incorrect Answer
      D 14 cm Correct Answer Incorrect Answer

      Solution

      As in ΔABC, PQ is parallel to BC then ΔAPQ is similiar to ΔABC, So by similarity, AP/AB = AQ/AC So 1/(1+2) = 3/AC or 1/3 = 3/AC or AC = 9cm

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