Question

आइसोसेलस ट्रायंगल एबीसी विच एबी एंड एसी बाईसेक्टर आफ एंगल बी एंड एंगल से इंटरेस्ट इंटरसेप्ट ईच अदर एट na2o साउथ ​

Answer 1

Since,

AB=AC..(1)

OB is the bisector of ∠B

So, ∠ABO=∠OBC=21∠B...(2)

OC is the bisector of ∠C

So, ∠ACO=∠OCB=21∠C..(3)

⇒∠ACB=∠ABC (Angles opposite to equal sides are equal)

21∠ACB=21∠ABC

∠OCB=∠OBC From (2) and (3)

Hence,

OB=OC (Sides opposite to equal angles are equal)

Hence proved✅

Answer 2

Answer:

Since,

AB=AC (1)

OB is the bisector of ∠B

So, ∠ABO=∠OBC=

∠B (2)

OC is the bisector of ∠C

So, ∠ACO=∠OCB=

∠C (3)

⇒∠ACB=∠ABC (Angles opposite to equal sides are equal)

∠AC

∠ABC

∠OCB=∠OBC From (2) and (3)

Hence,

OB=OC (Sides opposite to equal angles are equal)