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 re(4): baa by LDoc)

180 - A/3 - B/3 - C/3 =240
0= 60 + (A/3 + B/3 + C/3)
sub in found result

0= 60 + 120
0=180

Since this is the only place where the number values are used, the only thing that would change is:

0= 60 + 60
0=120

The situation is still not possible.

Posted by LDoc on 2002-11-15 09:54:59