2

Part of 2013 Bundeswettbewerb Mathematik

Problems(2)

BWM'13 P2: Partition the triangle into 5 isosceles triangles

Source:

Is it possible to partition a triangle, with line segments, into exactly five isosceles triangles? All the triangles in concern are assumed to be nondegenerated triangles.

BWM 2013 P6: Change the parallelogram to cube

Source:

A parallelogram of paper with sides

25

10

is given. The distance between the longer sides is

6

. The paper should be cut into exactly two parts in such a way that one can stick both the pieces together and fold it in a suitable manner to form a cube of suitable edge length without any further cuts and overlaps. Show that it is really possible and describe such a fragmentation.

geometryparallelogram3D geometry