Go Geometry Problem Geometry Problem 1316: Triangle, Incircle, Tangent, Chord, Midpoint, Sum of two Segments, Congruence.

< PREVIOUS PROBLEM  |  NEXT PROBLEM >

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.
 

Geometry Problem 1316: Triangle, Incircle, Tangent, Chord, Circle, Sum of two Segments, Congruence

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