MathDB
A dissection once more

Source: Tournament of Towns,Spring 2002, Junior A Level, P5

May 13, 2014
geometry proposedgeometry

Problem Statement

An acute triangle was dissected by a straight cut into two pieces which are not necessarily triangles. Then one of the pieces were dissected by a straight cut into two pieces and so on. After a few dissections it turns out the pieces were all triangles. Is it possible they were all obtuse?