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    Question

    In a triangle ABC, the internal bisector of тИа A meets

    side BC at D. If AB = 6 cm, AC = 9 cm, and BC = 12 cm, what is the length of BD?┬а
    A 4.8 cm Correct Answer Incorrect Answer
    B 5.4 cm Correct Answer Incorrect Answer
    C 6 cm Correct Answer Incorrect Answer
    D 7 cm Correct Answer Incorrect Answer

    Solution

    Using the Angle Bisector Theorem, BD / DC = AB / AC 6 / 9 = 2 / 3. Since BD + DC = 12, BD = (2 / 5) ├Ч 12 = 4.8\ Correct answer: a) 4.8 cm

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