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    Question

    Find the length of AB, if ΔABC ~ ΔRQP and AC = 22.5

    cm, RP = 9 cm and RQ = 6 cm.
    A 12 cm Correct Answer Incorrect Answer
    B 15 cm Correct Answer Incorrect Answer
    C 16 cm Correct Answer Incorrect Answer
    D 18 cm Correct Answer Incorrect Answer

    Solution

    ΔABC ~ ΔRQP So, (AC/RP) = (AB/RQ) Or, (22.5/9) = (AB/6) Or, (5/2) = (AB/6) Or, AB = (5/2) × 6 = 15 cm Hence, option b.

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