Two squares ACXE and CBDY are constructed in the exterior of an acute-angled triangle ABC. Prove that the intersection of the lines AD and BE lies on the altitude of the triangle from C.
Source: Croatia 2000 2nd Grade P2
Tags: geometry, Triangles
Two squares ACXE and CBDY are constructed in the exterior of an acute-angled triangle ABC. Prove that the intersection of the lines AD and BE lies on the altitude of the triangle from C.