Machu Picchu, Geometry Problems, Online Education
Online Geometry Problem 869: Triangle, Median, Three Equilateral Triangles, Collinear Points, Midpoint. Level: High School, College, Mathematics Education

The figure below shows a triangle ABC with the median BM. If triangles ABD, BME, and BCF are equilateral, prove that (1) D,E, and F are collinear; (2) E is the midpoint of DF. This entry contributed by Ajit Athle.

 

Geometry Problem 869: Triangle, Median, Three Equilateral Triangles, Collinear Points, Midpoint
 

 

Home | SearchGeometry | Problems | All Problems | Open Problems | Visual Index | 10 Problems | 861-870 | Triangles | Equilateral | Collinear Points | Midpoint | Email | Solution / comment | By Antonio Gutierrez