# Sharing a triangle

We want to share any triangle into equal area triangles.

There is of course only one way to share a triangle in two equal area triangles, except for symmetries and
vertices swapping.

### Share a triangle in 3

How many ways of sharing any triangle into 3 equal area triangles, discarding symmetries ?

Solution
### Share a triangle in 4

How many ways of sharing any triangle into 3 equal area triangles, discarding symmetries ?

Think that we want

**equal area** triangles.
Some cut in 4 triangles can't give equal area triangles.

Solution
Details