In the adjoining figure, \( A C \) is the median as well as altitude to \( B D \). In \( \triang...

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In the adjoining figure, \( A C \) is the median as well as altitude to \( B D \). In \( \triangle A C E, A D \) is the median to \( C E \). Which of the following is correct?
(a) \( A B+C DA E \)
(b) \( A B+B C=A E \)
(c) \( A B+D EA E \)
(d) None of the above
\( + \)
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