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    Question

    Find the length of AC, if ΔABC ~ ΔRQP and AB = 10 cm,

    RQ = 8 cm and RP = 12 cm.
    A 12 cm Correct Answer Incorrect Answer
    B 14 cm Correct Answer Incorrect Answer
    C 15 cm Correct Answer Incorrect Answer
    D 16 cm Correct Answer Incorrect Answer

    Solution

    ΔABC ~ ΔRQP So, (AB/RQ) = (AC/RP) Or, (10/8) = (AC/12) Or, (5/4) = (AC/12) Or, AC = (5/4) × 12 = 15 cm Hence, option c.

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