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Question

In the figure given below in ΔPQR, seg RS is the angle bisector of PRQ. If PS=4,SQ=6,PR=10, find QR.
599418_1c2f86987608418e9f6f341c39cf0674.png

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Solution

Seg RS bisects PRQ (Given)
PRQR=PSSQ (Angle bisector property)
10QR=46 (Substituting the given values)
10×6=4×QR
10×64=QR
QR=15

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