In the given figure, in \( \triangle A B C, D \) and \( E \) are the mid-points of the sides \( ...

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In the given figure, in \( \triangle A B C, D \) and \( E \) are the mid-points of the sides \( B C \) and \( A C \) respectively. Find the length of \( D E \). Prove that \( D E=\frac{1}{2} A B \).
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