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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