John D. Cook • 6/25/2026

Incircles and Excircles of Pythagorean triangles

This article discusses Baragar's theorem, which states that in every Pythagorean triangle, the radii of the incircle and three excircles are positive integers. It explains the concepts of incircles and excircles, provides a proof using Euclid's formula, and includes a Python script to illustrate the theorem with code for drawing circles and computing centers.

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#number theory #Geometry #Pythagorean Triples