Here are the coordinates of nine points. It is possible to draw a
triangle so that the shortest distance from each point to the
triangle is at most one unit.
Can you find a suitable triangle? Is there more than one
Given three points, it is always
possible to draw different
triangles with edges passing through those three points - here are
some examples of triangles going through the same three
Can you convince yourself that there are always infinitely many
Here are some examples of different triangles going through the
same set of four points:
Is it always possible to draw triangles through a set of four
points, whatever their position?
Investigate some examples and explain your findings.
What happens when we try to draw triangles through five