6 points concyclic, extending sides of a triangle at both ends
Source: Norwegian Mathematical Olympiad 2009 - Abel Competition p3a
September 5, 2019
geometryConcyclic
Problem Statement
In the triangle the edge has length , the edge length , and the edge length . Extend all the edges at both ends – by the length from the vertex from , and from . Show that the six endpoints of the extended edges all lie on a common circle.
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