Online Geometry Problems

Geometry Problem 1125: Triangle, Four Equilateral Triangles, Centroid, Midpoint. Level: High School, SAT Prep, Honors Geometry, College, Math Education

< PREVIOUS PROBLEM  |  NEXT PROBLEM >

The figure below shows a triangle ABC with equilateral triangles ABC1, BCA1, and ACB1 of centroids C2, A2, and B2, respectively. If A3, B3, and C3 are the midpoints of AA2, BB2, and CC2, respectively, prove that the triangle A3B3C3 is equilateral.
 

Infographic Geometry problem 1125 Triangle, Four Equilateral Triangles, Centroid, Midpoint
 

 

Selected Topics

Home | SearchGeometry | Problems | All Problems | Open Problems | Visual Index | 10 Problems | 1121-1130 | Triangle | Equilateral triangle | Midpoint | Median | Centroid | Napoleon's theorem | Email | Solution / comment.
Last updated: Jun 20, 2015 by Antonio Gutierrez.