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?

(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