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 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.