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In \( \triangle A B C, A B=A C \) and
D
\( A D \) is bisector of \( \angle B A C \).

Arjun proved that \( \triangle A B D \cong \triangle A C D \) as follows: \( A B=A C \quad \) [given] \( \angle B A D=\angle C A D \) [given]
Also, \( \angle B=\angle C \quad[\because A B=A C] \)
So, \( \triangle A B D \cong \triangle A C D \)
[by ASA congruence rule]
His classmate Mansoor pointed to him that this proof is not correct and gave the correct proof. Arjun accepted his mistake and thanks to Mansoor for the same.
Write the correct proof. What is the mistake in Arjun's proof?
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