Geometry Problem 1314: Equilateral Triangle, Incircle, Inscribed Circle, Tangent, Congruence. Level: High School, College

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The figure shows an equilateral triangle ABC with the incircle O (F is the tangency point on BC). Circles O₁ and O₂ are tangent to circle O and to the sides of angles A and C (D and E are the tangency points on AC). If FT is tangent to circle O₁ at T, prove that FT = DE.

Geometry Problem 1314 Equilateral Triangle, Incircle, Inscribed Circle, Tangent, Congruence

Sketch of problem 1314

Sketch of Geometry Problem 1314: Triangle, Concurrent Cevians, Midpoints, Area, Hexagon, iPad Apps

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Last updated: Dec 6, 2017