IMO 2018 Shortlist G1
Let ABC be an a ute-angled triangle with ir um ir le Γ. Let D and E be points on the segments AB and AC, respe tively, s...
Category: Geometry
Problem
Let ABC be an a ute-angled triangle with ir um ir le Γ. Let D and E be points on the segments AB and AC, respe tively, su h that AD “ AE. The perpendi ular bise tors of the segments BD and CE interse t the small ar s Ŋ AB and Ŋ AC at points F and G respe tively. Prove that DE k FG. (Gree e)