Online Geometry Problems

Online Geometry Problem 782: Triangle, Orthocenter, Circumcenter, Circumcircle, Diameter, Altitude, Parallelogram. Level: High School, College, Mathematics Education

The figure below shows a triangle ABC with the orthocenter H and the circumcenter O. If AD is the diameter of the circumcircle O, prove that BDCH is a parallelogram.
 

Triangle, Orthocenter, Circumcircle, Diameter, Parallelogram
 


 

Home | SearchGeometry | Problems | All Problems | Open Problems | Visual Index | 10 Problems | 781-790 | TrianglesCircle Circumcenter | Orthocenter | Altitude | Parallelogram | DiameterEmail | Solution / comment | By Antonio Gutierrez