3 triangles not intersecting in 1 (2019 Adygea Teachers' Geometry Olympiad p2)
Source:
June 24, 2020
geometryTriangle
Problem Statement
Inside the triangle there are three other triangles that do not have common points. Is it true that one can choose such a point inside and draw three rays from it so that the triangle breaks into three parts, in each of which there will be one triangle?