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    Question

    Triangle ABC is similar to triangle PQR and AB : PQ = 2

    : 3. AD is the median to the side BC in triangle ABC and PS is the median to the side QR in triangle PQR. What is the value of (BD/QS)2?
    A 3/5 Correct Answer Incorrect Answer
    B 4/9 Correct Answer Incorrect Answer
    C 2/3 Correct Answer Incorrect Answer
    D 4/7 Correct Answer Incorrect Answer

    Solution

    In the case of similar triangles AB/PQ =AC/PR =BC/QR AB/PQ=2/3 AB/PQ=BC/QR AB/PQ=2BD/2QS AB/PQ=BD/QS BD/QS=2/3 BD / (QS)2 = 4 / 9

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