intersecting triangles, at least 1 vertex is inside the circumcircle of other
Source: Sharygin 2010 Final 9.2
October 6, 2018
geometrycircumcircleVertices
Problem Statement
Two intersecting triangles are given. Prove that at least one of their vertices lies inside the circumcircle of the other triangle.(Here, the triangle is considered the part of the plane bounded by a closed three-part broken line, a point lying on a circle is considered to be lying inside it.)