All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Shapes > Geometry
Circumcenters and Vectors (Posted on 2017-12-31) Difficulty: 3 of 5

1) Let I be the incenter of acute ΔABC and A' the circumcenter of ΔIBC.

     Prove that A, I, and A' are collinear.

2) Let B' and C' be the circumcenters of triangles ICA and IAB respectively.

     Prove that the sum of the vectors IA', IB', and IC' is the zero vector 0
     if and only if ΔABC is equilateral.

No Solution Yet Submitted by Bractals    
No Rating

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re: Analytic solutionBractals2018-01-02 13:51:38
SolutionAnalytic solutionJer2018-01-01 14:21:44
Please log in:
Remember me:
Sign up! | Forgot password

Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2021 by Animus Pactum Consulting. All rights reserved. Privacy Information