Home > Shapes > Geometry
Four Equal Triangles (Posted on 20130616) 

Here's a problem I found in the Problems section of a
math journal. The way I read it, it is not true.
Let ABCD be a convex quadrilateral. Prove that
there exists a point P inside ABCD such that
[PAB]=[PBC]=[PCD]=[PDA],
if and only if
the diagonals bisect each other.
Here [XYZ] denotes the area of triangle XYZ.
Comments: (
You must be logged in to post comments.)


Please log in:
Forums (0)
Newest Problems
Random Problem
FAQ 
About This Site
Site Statistics
New Comments (5)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On
Chatterbox:
