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IMO 2012

Let ABC be a triangle with \(∠BCA = 90^ \circ\), and let D be the foot of the altitude from C. Let X be a point in the interior of the segment CD. Let K be the point on the segment AX such that \(BK = BC\). Similarly, let L be the point on the segment BX such that \(AL=AC\). Let M be the point of intersection of AL and BK. Show that \(MK = ML\)

Note by Paul Ryan Longhas
1 year, 8 months ago

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