Online Geometry Problems

Online Geometry Problem 809: Trisecting a Line Segment AB, Three Circles, Radius, Center. Level: High School, SAT Prep, College, Mathematics Education

The figure below shows a line segment AB. Circles with radius AB and centers A and B cut at C and D. Circle with radius CA and center C cuts AC extended and BC extended at E and F, respectively. Prove that DE and DF trisect AB
(i.e., AM = MN = NB).

Trisecting a line segment


Home | SearchGeometry | Problems | All Problems | Open Problems | Visual Index | 10 Problems | 801-810 | Segment Trisection | Triangles | Circle | Mascheroni construction | Email | Solution / comment | By Antonio Gutierrez