Sketch of Geometry Problem 1320: Triangle, Incircle, Tangent, Chord, Circle, Parallel, Perpendicular, Collinearity.

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The figure shows a triangle ABC with the inscribed circle O (D, E, and T are the tangency points). OB cuts chord DE and arc DE at M and F, respectively. CF cuts chord DE at N. FH is parallel to DE (H on BC) and AK is perpendicular to BO (K on BO extended). Prove that points K, N, and H are collinear.
 

See also: Original problem 1320.