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I incenter show that ...

Source: Turkey NMO 2003 Problem 5

February 24, 2009

geometryincentercircumcirclesearchgeometry unsolved

Problem Statement

A circle which is tangent to the sides

[AB]

and

[BC]

\triangle ABC

is also tangent to its circumcircle at the point

T

. If

I

is the incenter of

\triangle ABC

, show that \widehat{ATI}\equal{}\widehat{CTI}