Online Geometry Problems

Online Geometry Problem 977: Acute Triangle, Circumcenter, Orthocenter, Distance, Circumradius, Altitude, Metric Relations. Level: High School, College, Mathematics Education

< PREVIOUS PROBLEM  |  NEXT PROBLEM >

The figure below shows an acute triangle ABC with circumcenter O, orthocenter H and altitude BD. If the circumradius is R and OH = d, prove that d2 = R2 - 2.BH.HD

 

Geometry Problem 977: Acute Triangle, Circumcenter, Orthocenter, Distance, Circumradius, Altitude, Metric Relations
 


 

Home | SearchGeometry | Problems | All Problems | Open Problems | Visual Index | 10 Problems | 971-980 | Triangles | Circumcenter | Circles | Orthocenter | Altitude | Email | Solution / comment | By Antonio Gutierrez