Geometry Problem 1455: Nagel Point, Excircles, Incircle, Congruent Segments

Given a triangle ABC with the incircle I. Let EA, EB, EC be the excircles and TA, TB, TC be the extouch points. The Lines ATA, BTB, CTC concur in the Nagel point N and cuts the incircle at IA, IB, IC. Prove that AIA = NTA,BIB = NTB, CIC = NTC.

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Static Diagram of problem 1455

Dynamic Geometry 1455: Nagel Point, Excircles, Incircle, Congruent Segments, Using GeoGebra

Poster of the problem 1455 using iPad Apps

Poster of Problem 1455, Nagel Point, Excircles, Incircle, Congruent Segments. Using iPad


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Geometry Problem 1455 Solution(s)