similar trianglex,3 circles through H - All-Russian MO 2006 Regional (R4) 10.6
Source:
September 27, 2024
geometrysimilar triangles
Problem Statement
Through the point of intersection of the altitudes of an acute triangle three circles pass through, each of which touches one of the sides triangle at the foot of the altitude . Prove that the second intersection points of the circles are the vertices of a triangle similar to the original one.