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
Half an answer by e.g.)
Though the circumcenter is not necessarily within the triangle....
One must still prove that connecting it with the vertices will produce three isosceles triangles that can be turned over as required.
Edited on May 28, 2004, 2:31 pm