Answer :

Given: AB = AC

Construction: join OA, OB and OC


Consider ΔAOB and ΔAOC


OC = OB (radius)

OA = OA (common)

AB = AC (given)

By SSS congruency


OAC = OAB (by C.P.C.T)

Hence, we can say that OA is the bisector of BAC, that is O lies on the bisector of BAC.

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