MathDB
Areas of triangles AOH, BOH, COH

Source: APMO 2004, Problem 2

March 23, 2004
geometrycircumcircleEuleranalytic geometrygeometric transformationhomothetyAPMO

Problem Statement

Let OO be the circumcenter and HH the orthocenter of an acute triangle ABCABC. Prove that the area of one of the triangles AOHAOH, BOHBOH and COHCOH is equal to the sum of the areas of the other two.
Back to ProblemsView on AoPS