MathDB

2

Part of 2004 APMO

Problems(1)

Areas of triangles AOH, BOH, COH

Source: APMO 2004, Problem 2

3/23/2004
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.
geometrycircumcircleEuleranalytic geometrygeometric transformationhomothetyAPMO