Go Geometry Problem Geometric Art of Problem 1317: Triangle, Excircle, Congruence, iPad Apps.

 

The figure shows a triangle ABC with the excircle O corresponding to BC (D, E, and F are tangency points). M is the midpoint of arc DE. BM and CM cut chord DE at G and H, respectively. Prove that DG + HE = GH. 

Geometry Problem 1317: Triangle, Excircle, Chord, Tangent, Midpoint, Arc, Sum of two Segments, Congruence

Geometric Art using Mobile Apps
Geometric art is a form of art based on the use and application of geometric figures. A geometric figure is any set or combination of points, lines, surfaces and solids.

A mobile app or mobile application software is a computer program designed to run on smartphones and tablet computers.

See also:
Original problem 1317


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