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in Olympiad by (66.0k points)

In a rectangle ABCD, E is the midpoint of AB : F is a point on AC such that BF is perpendicular to AC : and FE perpendicular to BD. Suppose BC = 8√3. Find AB.

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Let ∠CAB = ∠ADB = α

∴ ∠NMB = 2α (From figure)

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