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.
(In reply to
re(3): Easy when you know how by Harry)
Yes, I agree you are right, the solution is oversimplified. Please disregard it.
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Posted by broll
on 2010-04-19 04:32:53 |
re(4): Easy when you know how
