Geometry Problem 1297

Elements: Arbelos, Semicircles, Diameters, Circle, Incircle, Tangent, Angle Bisector

The figure below shows an arbelos ABC (AB, BC, and AC are semicircles of centers O1, O2, and O). The incircle of the arbelos is tangent to semicircles AC, AB, and BC at T, T1, and T2, respectively. Prove that TB is the bisector of the angle ATC.


Geometry Problem 1297: Arbelos, Semicircles, Diameters, Circle, Incircle, Tangent, Angle Bisector
 

Geometry Problems
1291-1300
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Arbelos
Triangle
Circle
Semicircle
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