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    Question

    In triangle ABC, DE is drawn parallel to side BC. If AD = 6

    cm, DB = 4 cm and AE = 9 cm, then find AC.
    A 27 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,

    A line drawn parallel to one side of a triangle divides the other two sides in the same ratio.

    (AD / DB) = (AE / EC)

    => (6 / 4) = (9 / EC)

    => EC = (9 ├Ч 4) / 6 = 6 cm

    So, AC = AE + EC = 9 + 6 = 15 cm

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