Growing Shapes Notes on the investigation

With a Scale factor of 3 the filled triangle looks like this and it is easy to see that it takes 6 of the smaller triangles to build it.

This is true for all of the enlargements Scale Factor 3.

If the scale factor is 4 then it takes 10 of the smaller shapes to build the larger.

The general relationship is that the number of smaller shapes N = S ( S + 1 )/2

where S is the Scale factor