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

Home > Shapes > Geometry
Always equilateral (Posted on 2008-10-14) Difficulty: 2 of 5
Let ABC be any triangle you draw.

From each vertex, draw two lines outside the triangle, each one at 30' (red arcs) with the sides that meet each other in the vertex.

These 6 lines cross, two by two, at 3 points, named M, N, and P.

Prove that, no matter what triangle ABC you draw initially, the triangle MNP is always equilateral.

See The Solution Submitted by pcbouhid    
No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)
Napoleon's Theorem | Comment 3 of 5 |

I did a little digging on Mathworld and found that this problem is known as Napoleon's Theorem.

  Posted by Brian Smith on 2008-10-18 23:07:46
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 (7)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Copyright © 2002 - 2018 by Animus Pactum Consulting. All rights reserved. Privacy Information