You are given a supply of squares, and equilateral triangles,

each of side 4cm.

These can be placed together, corners touching, to form larger polygons.

Here is a hexagon:

Here is a heptagon:

A convex polygon is one where all the interior angles are less than 180 ° .

CONVEX

NOT CONVEX

It is possible to make a variety of convex polygons

with these squares and triangles.

Can you make a convex hexagon?

Can you make a convex heptagon?

How many sides is it possible for one of these convex polygons to have?