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Four Equal Triangles (
Posted on 2013-06-16
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
if and only if
the diagonals bisect each other.
Here [XYZ] denotes the area of triangle XYZ.
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(In reply to
I arrived at the same conclusion.
What about restating the problem by replacing
"the diagonals bisect each other"
"at least one diagonal bisects the other"?
on 2013-06-17 13:56:07
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