Geometry and circles (AoPS)

Three congruent circles have a common points O and lie inside a triangle such that each circle touches a pair of sides of the triangle .prove that the incentre and circumcentre of the triangle and the point O are collinear

*** The common points are the internal similitude center (X(55)) and the external center of similitude (X(56)).

Angel Montesdeoca (03-06-2020)

Hechos Geométricos del Triángulo