Prove the theorem: Every triangle has a unique incircle. The angle bisectors of the 3 interior angles of a triangle are concurrent at the incenter of the triangle.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Prove the theorem:

Every triangle has a unique incircle. The angle bisectors of the 3 interior angles of a triangle are concurrent at the incenter of the triangle. 

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