Online Geometry Problems

Online Geometry Problem 777: Triangle, Distance from the Orthocenter to a Vertex, Circle, Circumradius, Cosine. Level: High School, College, Mathematics Education

The figure below shows a triangle ABC with the orthocenter H and circumradius R. Prove that HB = 2R.cos(angle ABC).

Triangle, Distance from the Orthocenter to a Vertex, Circle, Circumradius, Cosine
 

 

Home | SearchGeometry | Problems | All Problems | Open Problems | Visual Index | 771-780 | TrianglesCircle Circumcircle | Orthocenter | AltitudeEmail | Solution / comment | By Antonio Gutierrez