In a right angled \( \triangle A B C \), right angled at \( B \), if \( D \) is any point on \( ...

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In a right angled \( \triangle A B C \), right angled at \( B \), if \( D \) is any point on \( B C \), then prove that
\[
A C^{2}=A D^{2}-D C^{2}+2 B C \cdot D C .
\]
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