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.Solution

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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