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Geometry Problem 1315: Triangle, Incircle, Tangent, Chord, Circle, Congruence. Sketch, Software

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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. AF and CF cut chord DE at G and N, respectively. Prove that DG = MN.
 

Geometry Problem 1315: Triangle, Incircle, Tangent, Chord, Circle, Congruence

Sketch of problem 1315

Sketch of Geometry Problem 1315: Triangle, Incircle, Tangent, Chord, Circle, Congruence, iPad Apps
 

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1311-1320
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