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Question

In the given figure, PS is the bisector of QPR of ΔPQR Prove that QSSR=PQPR
1390310_324d61128f2d40a895500ce2bf685482.PNG

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Solution

In ΔQSP and ΔRSP,
QS=SR,SP=SP
Then by SS similarity criterion,
ΔQSPΔRSP
Therefore,QSSR=QPRP (In similar triangles corresponding sides are proportional)

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