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?
Brian Smith's Solution:
Breaks the triangle into two isosceles triangles and a kite by forming right triangles and bisecting the sides. Both shapes have a line of symmetry and so can be flipped over. This solution will work for any triangle.
Breaks the triangle into 3 kites by dropping prependiculars from the incenter. Again, this works for any triangle.
Nice solutions. (I'm jealous, but maybe I'll make some applets from geometer's sketchpad drawings.)
Posted by Jer
on 2004-05-29 15:53:26