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    Question

    In triangle DEF, GH is drawn parallel to side EF. If DG = 9

    cm, GE = 3 cm and DH = 6 cm, find DF.
    A 4 cm Correct Answer Incorrect Answer
    B 10 cm Correct Answer Incorrect Answer
    C 8 cm Correct Answer Incorrect Answer
    D 12 cm Correct Answer Incorrect Answer

    Solution

    ATQ,

    By Basic Proportionality Theorem,

    (DG / GE) = (DH / HF)

    => (9 / 3) = (6 / HF)

    => HF = (6 × 3) / 9 = 2 cm

    So, DF = DH + HF = 6 + 2 = 8 cm

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