Question

In triangle ABC,AB=AC.OB and OC are bisectors of ANGLE A and ANGLE B respectively. show that OB=OC​

Answer 1

Answer:

OB = OC

Step-by-step explanation:

correct Question

In triangle ABC,AB=AC.

OB and OC are bisectors of ANGLE B and ANGLE C respectively.

show that OB=OC​

in ΔABC

AB = AC

=> ∠B  = ∠C

OB is Bisector of Angle B

=> ∠OBC = (1/2)∠B

OC is Bisector of Angle C

=> ∠OCB = (1/2)∠C

∠B = ∠C  => (1/2)∠B = (1/2)∠C

=> ∠OBC = ∠OCB

in ΔOBC ∠OBC = ∠OCB

=> OB = OC