9.4

Part of 2009 Moldova National Olympiad

Problems(1)

cut a triangle into at least 2 triangles with each side=1, when it has side >1

Source: 2009 Moldova NMO 9.4

A side of an arbitrary triangle has a length greater than

1

. Prove that the given triangle it can be cut into at least

2

triangles, so that each of them has a side of length equal to

1

geometrycombinatorial geometry