We are given an arbitrary △ABC.
a) Can we dissect △ABC in 4 pieces, from which we can make two triangle similar to △ABC (each piece can be used only once)? Justify your answer!
b) Is it possible that for every positive integer n≥2 , we are able to dissect △ABC in 2n pieces, from which we can make two triangles similar to △ABC (each piece can be used only once)? Justify your answer! JuniorJMMOMacedonia2007geometrycombinatorics