Školjka The square 
has to be decomposed into 
triangles (which are not overlapping) and which have all angles acute. Find the smallest integer for which there exist a solution of that problem and for such construct at least one decomposition. Answer whether it is possible to ask moreover that (at least) one of these triangles has the perimeter less than an arbitrarily given positive number.
has to be decomposed into triangles (which are not overlapping) and which have all angles acute. Find the smallest integer for which there exist a solution of that problem and for such construct at least one decomposition. Answer whether it is possible to ask moreover that (at least) one of these triangles has the perimeter less than an arbitrarily given positive number.