perplexus.info :: Geometry : Morley's Ghost

Morley's Ghost (Posted on 2013-08-10)

ABCDEF is a hexagon inscribed in a unit circle with AB = CD = EF = 1. Let X, Y, Z, be the midpoints of the other three sides (i.e., of BC, DE, and FA). Prove that XYZ is an equilateral triangle.

No Solution Yet Submitted by Danish Ahmed Khan

Rating: 3.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)

re(2): Solution

Comment 3 of 3 |

(In reply to re: Solution by broll)

Thanks Broll

Yes, I think you're right.

Sadly, as far as I can see, the two problems are not really related.

Posted by Harry on 2013-08-27 19:41:46

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

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

Chatterbox:


perplexus dot info