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      Question

      In triangle MNO, PQ is drawn parallel to side NO. If MP = 5

      cm, PN = 10 cm and MQ = 6 cm, find MO.
      A 14 cm Correct Answer Incorrect Answer
      B 10 cm Correct Answer Incorrect Answer
      C 18 cm Correct Answer Incorrect Answer
      D 12 cm Correct Answer Incorrect Answer

      Solution

      ATQ,

      A line drawn parallel to one side divides the other two sides in equal ratios.

      (MP / PN) = (MQ / QO)

      => (5 / 10) = (6 / QO)

      => QO = (6 Γ— 10) / 5 = 12 cm

      So, MO = MQ + QO = 6 + 12 = 18 cm

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