Prove or disprove, that the points of intersection of the adjacent trisectors of the angles of any triangle are the vertices of an equilateral triangle. (In other words, that for any yellow triangle, the green triangle will be equilateral, given that the thinner lines trisect their respective angles.)

(In reply to Live by levik)

I thought I had a disproof, but it rested on the mistaken assumption that triangle AXY was isocoles. (Thanks to Dulanjana for pointing out the flaw.)

Posted by Jim Lyon on 2002-11-05 05:25:59