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.
You really should do your own homework - this is a question designed to make you analyse number patterns and devise a method to predict the answer that can be applied to grids of differing size. If we start with a square cut into a 3x3 grid, we can count the nine single (1x1) squares in the grid, the one 3x3 square, and then four 2x2* squares, making a total of 14. Try it out, then work your way up to 6x6 (a 36 square grid) by way of 4x4 and 5x5, looking to see how the grid's dimensions correlate to the number of varying-sized squares that can be counted. As a tip- in a 6x6 grid, you will have one 6x6 square, thirty-six 1x1 squares, and how many 2x2, 3x3, 4x4, and 5x5 squares? *The squares can overlap, obviously.