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Special triangle in any triangle (Posted on 2002-11-05) Difficulty: 5 of 5
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.

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionSolutionAntonio2003-09-01 04:22:23
re: HeyCharlie2003-02-10 05:13:56
Special Triangle In Any TriangleRavi Raja2003-01-14 03:07:10
Some Thoughtsre: angle ZRebecca2002-12-02 10:34:16
HeyRaveen2002-11-22 04:06:08
fixed mathLDoc2002-11-15 09:54:59
re(4): baaLDoc2002-11-15 09:34:40
re(3): baalevik2002-11-08 02:27:37
re(5): baafriedlinguini2002-11-08 02:16:30
re(4): baaLDoc2002-11-07 18:14:55
Some Thoughtsre(3): baaLDoc2002-11-07 18:07:28
Some Thoughtsre(2): baaLDoc2002-11-07 18:07:05
Some Thoughtsre: baaLDoc2002-11-07 18:06:27
baaLDoc2002-11-07 18:04:29
Some Thoughtsangle Zlevik2002-11-05 09:05:25
re(2): Livelevik2002-11-05 06:34:28
Some Thoughtsre: LiveJim Lyon2002-11-05 05:25:59
re: Good idealevik2002-11-05 03:57:53
Good ideaDulanjana2002-11-05 02:39:41
Livelevik2002-11-05 02:03:45
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