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
Easy when you know how by broll)
Broll
I'm with you on your first two lines of equations, but what happens on the third line after the words "but 1-b=a etc."?
That's where I get lost.
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Posted by Harry
on 2010-04-17 23:11:25 |
re: Easy when you know how
