Prove that there exist
(a) 5 points in the plane so that among all the triangles with vertices among these points there are 8 right-angled ones;
(b) 64 points in the plane so that among all the triangles with vertices among these points there are at least 2005 right-angled ones.
Prove that there exist
(a) 5 points in the plane so that among all the triangles with vertices among these points there are 8 right-angled ones;
(b) 64 points in the plane so that among all the triangles with vertices among these points there are at least 2005 right-angled ones.
Školjka