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Take The Midpoints, Get Equilateral? (Posted on 2007-08-01) Difficulty: 2 of 5
The circumcircle of the hexagon PQRSTU has a radius of length 1. It is known that PQ = RS = TU = 1.

Let J, K and L correspond respectively to the mid points of the sides QR, ST and UP.

Is it always the case that the triangle JKL is equilateral?

See The Solution Submitted by K Sengupta    
Rating: 3.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: answer--but not solution | Comment 2 of 4 |
(In reply to answer--but not solution by Charlie)

I think the wording of the problem rules this out but if the hexagon is not a simple polygon (and so is self intersecting) the triangle seems not to be equilateral.

  Posted by Jer on 2007-08-01 22:59:53

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