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The figure shows a triangle ABC with the inscribed circle O (D, E, and T are the tangency points). F is the midpoint of arc DE. AF and CF cut chord DE at G and N, respectively. Prove that DG + NE = GN.

See also: Art of problem 1312

Home | Geometry | Problems | All Problems | Open Problems | Visual Index | 1311-1320 | Triangle | Circle | Incircle | Tangent line | Midpoint | Congruence | View or Post a solution | by Antonio Gutierrez