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Triangle Divided (Posted on 2010-04-15) Difficulty: 2 of 5

Let P be a point in the interior of an equilateral triangle.

Three line segments connect P with the vertices of the 
triangle and three line segments connect P perpendicularly
to the sides of the triangle.

These six line segments divide the triangle into six smaller
triangles that surround P.

If u, v, w, x, y, and z denote the areas of the triangles 
around P in that order, then prove that

                     u + w + y = v + x + z.

See The Solution Submitted by Bractals    
Rating: 2.5000 (2 votes)

Comments: ( You must be logged in to post comments.)
  Subject Author Date
re(4): Easy when you know howbroll2010-04-19 04:32:53
Questionre(3): Easy when you know howHarry2010-04-18 21:45:01
re(2): Easy when you know howbroll2010-04-18 02:54:55
Questionre: Easy when you know howHarry2010-04-17 23:11:25
SolutionEasy when you know howbroll2010-04-17 07:39:28
Some ThoughtsApproachbroll2010-04-16 14:46:46
re: Approach.Bractals2010-04-16 08:12:58
QuestionApproach.Vee-Liem Veefessional2010-04-16 00:13:22
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