####

####

# 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 O_{1}, O_{2}, and O).
The incircle of the arbelos is tangent to semicircles AC, AB, and BC at T,
T_{1}, and T_{2}, respectively. Prove that TB is the bisector of the
angle ATC.

Geometry Problems

1291-1300

Visual Index

Open Problems

All Problems

Arbelos

Triangle

Circle

Semicircle

Tangent Circles

Incircle

Angle Bisector

Angle

View or Post a solution

###