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    Question

    In a ΔPQR, PS is the angle bisector of ∠RPQ. If PQ = 12

    cm, RP = 21 cm and QR = 22 cm. Find the length of QS.
    A 8 cm Correct Answer Incorrect Answer
    B 12 cm Correct Answer Incorrect Answer
    C 16 cm Correct Answer Incorrect Answer
    D None of the above Correct Answer Incorrect Answer

    Solution

    Image


    Using angle bisector theorem,

    (PQ/RP) = (QS/RS)

    So, (QS/RS) = (12/21) = (4:7)

    QS = (4/11) × 22 = 8 cm

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