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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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