In a triangle \( A B C, D \) is a point on \( B C \), such (W) that any point on \( A D \) is eq...

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In a triangle \( A B C, D \) is a point on \( B C \), such
(W) that any point on \( A D \) is equidistant from points \( B \) and \( C \). Which of the following is necessarily true?
(a) \( A B=B C \)
(b) \( B C=A C \)
(c) \( A C=A B \)
(d) \( A B=B C=A C \)
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