In \( \triangle A B C, \angle C \) is an obtuse angle, \( A D \perp B C \) and \( A B^{2}=A C^{2...

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In \( \triangle A B C, \angle C \) is an obtuse angle, \( A D \perp B C \) and \( A B^{2}=A C^{2}+3 B C^{2} \). Prove that \( B C=C D \).
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