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.


