Advanced Geometric Problem & Solution (Twice a week update) Now 4719 problems posted.
<Tri-2025-2251>, hint
Let H' be the midpoint of AB, because KH'ㅗAB, KA=KB. Hence CH' and AM meet
at centroid G. AG=2GM, CG=2GH', Triangles CNG and H'KG are similar and so 2GK=GN
AG-NG=2GH-2GK. Hence AN=2KM
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