Geometry Problems, Online Education

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

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Home | Geometry | Problems | All Problems | Open Problems | Visual Index | 1311-1320 | Triangle | Equilateral Triangle | Circle | Incircle | Tangent Circles | Tangent line | Congruence | Email | View or post a solution
Last updated: Feb 19, 2017