MathDB
The projection of T on OG - ILL 1990 LUX1

Source:

September 19, 2010
geometry proposedgeometry

Problem Statement

AB,ACAB, AC are two chords of the circle centered at OO. The diameter, which is perpendicular to BCBC, intersects AB,ACAB, AC at F,GF, G respectively (FF is in the circle). The tangent from GG tangents the circle at TT. Prove that FF is the projection of TT on OG.OG.
Back to ProblemsView on AoPS