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 Triangle Divided (Posted on 2010-04-15)
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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.
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 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 how broll 2010-04-19 04:32:53 re(3): Easy when you know how Harry 2010-04-18 21:45:01 re(2): Easy when you know how broll 2010-04-18 02:54:55 re: Easy when you know how Harry 2010-04-17 23:11:25 Easy when you know how broll 2010-04-17 07:39:28 Approach broll 2010-04-16 14:46:46 re: Approach. Bractals 2010-04-16 08:12:58 Approach. Vee-Liem Veefessional 2010-04-16 00:13:22
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