Online Geometry Problems

Online Geometry Problem 757: Equilateral Triangle, Circumcircle, Chords, a Half of Harmonic Mean. Level: High School, College, Mathematics Education

The figure shows an equilateral triangle ABC with circumcircle O. A chord CD meets AB at E. If AD = b and BD = c, prove that DE is half the harmonic mean of b and c or Formula to prove.

Equilateral triangle, Circumcircle, Harmonic Mean

Home | SearchGeometry | Problems | All Problems | Open Problems | Visual Index | 751-760 | Triangles | Equilateral Triangle | Circumcircle | Harmonic Mean | Chord | Email | Solution / comment | By Antonio Gutierrez