Go Geometry Problems

Geometry Problem 1300: Arbelos, Semicircles, Diameters, Circle, Incircle, Tangent, Perpendicular, Concurrent Lines. Level: School, College, Mathematics Education

< PREVIOUS PROBLEM  |  NEXT PROBLEM >

The figure below shows an arbelos ABC (AB, BC, and AC are semicircles of centers O1, O2, and O). The incircle I of the arbelos is tangent to semicircles AC, AB, and BC at T, T1, and T2, respectively. IH is perpendicular to AC. Prove that AT2, TB, CT1, IH, and the incircle are concurrent at a point P.
 
 

Geometry Problem 1300: Arbelos, Semicircles, Diameters, Circle, Incircle, Tangent, Perpendicular, Concurrency

 

Home | SearchGeometry | Problems | All Problems | Open Problems | Visual Index | 10 Problems | Problems Art Gallery Art | 961-970 | Arbelos | Triangle | Circle | Semicircle | Tangent Circles | Incircle | Perpendicular lines | Concurrency | by Antonio Gutierrez

View or Post a Solution to the Problem 1300