(511) 4

Part of 1996 Tournament Of Towns

Problems(1)

total number of tiling triangles is even

Source: TOT 511 1996 Autumn J A4 Tournament Of Towns

(a) A square is cut into right triangles with legs of lengths

3

4

. Prove that the total number of the triangles is even.
(b) A rectangle is cut into right triangles with legs of lengths

1

2

. Prove that the total number of the triangles is even.
(A Shapovalov)

combinatoricstilesTilingcombinatorial geometry