depends on what size triangles and what kind of triangles?
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225
The correct answer is 76. There are 9 points in the grid. You can pick any 3 out of these 9 points in 9*8*7/(3*2*1) = 84 ways. However, 3 will form horizontal lines in the grid, 3 will form vertical lines in the grid, and 2 will form diagonal lines in the grid. None of these 8 triplets will form triangles, but all the rest will. So the answer is 84-8=76.
5x5=25 squared 1+2+3+4+5+6+7+8=36 The only way to fit them in would be to fold them XD
Oh, dude, you're really asking me to count squares now? Okay, so in a 5x5 grid, there are 25 individual squares of various sizes. You've got your big squares, your medium squares, your tiny squares... it's a whole square party in there. So, like, 25 squares, man.