Question

A square is divided by its four lines of symmetry. Triangles of different sizes are formed. How many total triangles are formed?

Answer 1

If we divide a square by it's 4 lines of symmetry, we can see that their are 8 single triangles, 4 double triangles, and 4 quadruple triangles. 8 + 4 + 4 = 16
There should be a total of 16 triangles. Hope this helps!

Answer 2

If you're only counting the smallest triangles, then 8.

If you're counting all possible triangles including triangles made of other triangles, then 16. Each diagonal gives 2, the combined diagonals give 4, and the unit triangles give 8 for a total of 2 + 2 + 4 + 8 = 16.