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    Question

    In triangle GHI, JK is drawn parallel to side HI. If GJ = 7

    cm, JH = 2 cm, and GK = 14 cm, find GI.
    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,

    By the Basic Proportionality Theorem,

    (GJ / JH) = (GK / KI)

    => (7 / 2) = (14 / KI)

    => KI = (14 × 2) / 7 = 4 cm

    So, GI = GK + KI = 14 + 4 = 18 cm

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