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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.)

See The Solution Submitted by Dulanjana    
Rating: 4.0000 (8 votes)

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re: Hey | Comment 19 of 20 |
(In reply to Hey by Raveen)

See for example
http://mathforum.org/library/drmath/view/51789.html
an interactive applet is at
http://www.cut-the-knot.com/triangle/Morley/MorleyFinal.shtml
  Posted by Charlie on 2003-02-10 05:13:56

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