A triangular pie has the same shape as its box, except that they are mirror images of each other. We wish to cut the pie in two pieces which can t together in the box without turning either piece over. How can this be done if (a) one angle of the triangle is three times as big as another; (b) one angle of the triangle is obtuse and is twice as big as one of the acute angles?
Problem
Source: Tournament of Towns 2007 - Spring - Junior O-Level - P5
Tags: combinatorics unsolved, combinatorics