MathDB

55

Part of 1985 IMO Longlists

Problems(1)

Determine the locus of the orthocenter

Source:

9/13/2010
The points A,B,CA,B,C are in this order on line DD, and AB=4BCAB = 4BC. Let MM be a variable point on the perpendicular to DD through CC. Let MT1MT_1 and MT2MT_2 be tangents to the circle with center AA and radius ABAB. Determine the locus of the orthocenter of the triangle MT1T2.MT_1T_2.
geometryrhombusgeometry unsolved