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 × 10) / 5 = 12 cm

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

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