A fur dresser had to put a patch shaped like a scalene triangle on a piece of fur. Suddenly he realized he had made a terrible mistake. The patch fitted the hole but the fur side faced the wrong way.
The fur dresser, after some thought, cut the triangular patch into 3 parts, each of which would be unchanged when turned over. How?
(In reply to
re: Half an answer by SilverKnight)
By definition, the circumcenter is at the same distance from each vertex, so the three triangles produced by e.g.'s method are isosceles and thus axially symmetric.