Special triangle in any triangle (Posted on 2002-11-05)

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.)

	Submitted by Dulanjana
Rating: 4.0000 (8 votes)
Solution:	(Hide)
This problem is actually known as "Moreley's Theorem". Charlie has pointed out that a proof is available here.

	Subject	Author	Date
	Solution	Antonio	2003-09-01 04:22:23
	re: Hey	Charlie	2003-02-10 05:13:56
	Special Triangle In Any Triangle	Ravi Raja	2003-01-14 03:07:10
	re: angle Z	Rebecca	2002-12-02 10:34:16
	Hey	Raveen	2002-11-22 04:06:08
	fixed math	LDoc	2002-11-15 09:54:59
	re(4): baa	LDoc	2002-11-15 09:34:40
	re(3): baa	levik	2002-11-08 02:27:37
	re(5): baa	friedlinguini	2002-11-08 02:16:30
	re(4): baa	LDoc	2002-11-07 18:14:55
	re(3): baa	LDoc	2002-11-07 18:07:28
	re(2): baa	LDoc	2002-11-07 18:07:05
	re: baa	LDoc	2002-11-07 18:06:27
	baa	LDoc	2002-11-07 18:04:29
	angle Z	levik	2002-11-05 09:05:25
	re(2): Live	levik	2002-11-05 06:34:28
	re: Live	Jim Lyon	2002-11-05 05:25:59
	re: Good idea	levik	2002-11-05 03:57:53
	Good idea	Dulanjana	2002-11-05 02:39:41
	Live	levik	2002-11-05 02:03:45