2

Part of 2019 Adygea Teachers' Geometry Olympiad

Problems(1)

3 triangles not intersecting in 1 (2019 Adygea Teachers' Geometry Olympiad p2)

Source:

Inside the triangle

T

there are three other triangles that do not have common points. Is it true that one can choose such a point inside

T

and draw three rays from it so that the triangle breaks into three parts, in each of which there will be one triangle?

geometryTriangle