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A Cute Triangle (Posted on 2006-07-21) Difficulty: 2 of 5
Given any triangle, through each vertex draw the external angle bisector at that vertex. Show that the new triangle that has as its vertices the three pairwise intersection points of these is always an acute triangle (all three angles strictly less than 90 degrees).

Extra Credit: Extended to meet the new triangle, the internal angle bisectors of the given triangle are what with respect to the new triangle?

See The Solution Submitted by Richard    
Rating: 3.0000 (1 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re(2): SolutionCharlie2006-07-21 15:25:55
re: SolutionRichard2006-07-21 14:38:53
SolutionSolutionJLo2006-07-21 09:49:43
SolutionSolutionBractals2006-07-21 09:47:37
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