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    Question

    In triangle ABC, a line DE is drawn parallel to side BC. If

    AD = 6 cm, DB = 4 cm, and AE = 9 cm, determine the length of AC.
    A 18 cm Correct Answer Incorrect Answer
    B 10 cm Correct Answer Incorrect Answer
    C 15 cm Correct Answer Incorrect Answer
    D 12 cm Correct Answer Incorrect Answer

    Solution

    ATQ,

    A line drawn parallel from two sides of a triangle to its third side divides the sides in same ratio.

    So, (AD/DB) = (AE/EC)

    Or, (6/4) = (9/EC)

    Or, EC = 6 cm

    So, AC = 9 + 6 = 15 cm

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