25
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.
25
225
you can make 76 different triangles on a 3x3 grid
To determine the number of triangles in a 4x4 grid, we need to consider different types of triangles that can be formed. There are 16 small triangles formed by the grid lines themselves. Additionally, there are 18 medium triangles formed by connecting three grid points. Finally, there are 8 large triangles formed by connecting four grid points. Therefore, in total, there are 16 + 18 + 8 = 42 triangles in a 4x4 grid.
5!=5*4*3*2*1
If its a 4 by 5 grid, there are 20 squares because 4 times 5 =20 20 by 2 is 40 so there are 40 triangles because there are 2 triangles that fit into each square. Hope this helps!
9 squares = 18 triangles * * * * * 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.
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.
30 triangles (1 to the power of 2) + (2^2) + (3^2) + (4^2) = 1 + 4 + 9 + 16 = 30
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.
If you have a grid of 5x5 squares you will have no triangles at all since there are no diagonal lines. * * * * * Here is a more likely answer - though I am not sure it is totally correct. A triangle is defined by three vertices. The total number of ways of picking 3 out of 25 points is 25*24*23/(3*2*1) 25 ways of picking a point from the grid at random, 24 ways to pick another point from the grid and 23 to pick the third. Divide by 3*2*1 since the order in which these collinear points is picked does not matter. However, some of these are not triangles: they are not triangles if all three points are in the same row or in the same column. Number of ways for that = 2*(25*4*3)/(3*2*1) 25 ways of picking a point from the grid at random, 4 ways of another point in the same row, 3 ways of picking the third in the same row. Divide by 3*2*1 since the order in which these collinear points is picked does not matter. Multiply by two because the same argument applies for collinearity in columns. So answer = 2300 - 100 = 2200