Q. 134.0( 24 Votes )

In ΔABC, the bise

Answer :

Given: PBR = QBR & PQ AC.

In ∆BQP,

BR bisects B such that PBR = QBR.

Since angle-bisector theorem says that, if two angles are bisected in a triangle then it equates their relative lengths to the relative lengths of the other two sides of the triangles.

So by applying angle-bisector theorem, we get

QR × BP = PR × BQ

Hence, proved.

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