RMO 2003 ; Part - 1

Geometry Level 2

Let \(\Delta ABC\) be a triangle in which \(AB = AC\) & \(\angle CAB = 90^\circ\). Suppose \(M\) & \(N\) are points on the hypotenuse \(BC\) such that \(BM^2 + CN^2 = MN^2\), then find \(\angle MAN\) in degrees.

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