2008 OIM Problems/Problem 5
Problem
Let be a triangle, and be points on the sides , , respectively. Let , , and be the circumcenters corresponding to the triangles and . Show that
and that the equality is fulfilled if and only if the lines have a point in common.
Observation: for any triangle , we denote its area by .
~translated into English by Tomas Diaz. ~orders@tomasdiaz.com
Solution
This problem needs a solution. If you have a solution for it, please help us out by adding it.