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    Question

    In triangle XYZ, UV is drawn parallel to side YZ. If XU =

    10 cm, UX = 6 cm, and XV = 15 cm, find XZ.
    A 24 cm Correct Answer Incorrect Answer
    B 15 cm Correct Answer Incorrect Answer
    C 17 cm Correct Answer Incorrect Answer
    D 12 cm Correct Answer Incorrect Answer

    Solution

    ATQ,

    If a line is drawn parallel to one side of a triangle, it divides the other sides proportionally.

    (XU / UX) = (XV / VZ)

    => (10 / 6) = (15 / VZ)

    => VZ = (15 Ă— 6) / 10 = 9 cm

    So, XZ = XV + VZ = 15 + 9 = 24 cm

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