Let \( A B C \) be a triangle with \( A B=A C \). If \( D \) is mid point of \( B C \), the foot...

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Let \( A B C \) be a triangle with \( A B=A C \). If \( D \) is mid point of \( B C \), the foot of the perpendicular drawn from \( D \) to \( A C \) and \( F \) the mid-point of \( D E \). Prove that \( A F \) is perpendicular to \( B E \).
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