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)

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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

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