The answer to the previous puzzle is 35.
I'll tell you how I counted.
First we count the triangles that have no others inside them. There are 10 of those.
Then the ones with two inside. We count them, keeping symmetry in mind, looking at where they can end (at the vertices of the pentagram).There are 10 of those. (2*5)
Then we count the ones with three triangles inside. There are ten of those. They can end at the vertices of the pentagram, or in the inner pentagram.
There aren't any that have four triangles inside.
Then we count the ones with five triangles inside. They can end at the vertices of the pentagram. There are five of them.
That makes 35 in total. I made a careless mistake and got 34.
Since today is a day off, here are two puzzles at once, but they're for kids!