Shortlisted Problems with Solutions
Prove that the quadrilateral BXCY is cyclic. G5. Let ABC be a triangle with ∠BCA = 90 , and let C 0 be the foot of the altitude from C. Choose a point X in the interior of the segment CC 0, and let K,L be the points on the segments AX,BX for which BK = BC and AL = AC respectively. Denote by M the intersection of AL and BK. Show that MK = ML. G6.
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