MathDB
Internal and external bisectors of A meet BC at D,E

Source: Turkey TST 2000 P2

March 12, 2011
geometrytrapezoidgeometry proposed

Problem Statement

In a triangle ABC,ABC, the internal and external bisectors of the angle AA intersect the line BCBC at DD and EE respectively. The line ACAC meets the circle with diameter DEDE again at F.F. The tangent line to the circle ABFABF at AA meets the circle with diameter DEDE again at G.G. Show that AF=AG.AF = AG.
Back to ProblemsView on AoPS