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How many triangles are in a 5x5 grid?

Updated: 4/28/2022
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13y ago

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depends on what size triangles and what kind of triangles?

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13y ago
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Q: How many triangles are in a 5x5 grid?
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Related questions

How many squares are there in a 5x5 grid?

25


How many rectangles on a 5x5 grid?

225


How many different triangles can you make on a 3X3 grid?

you can make 76 different triangles on a 3x3 grid


Who many moves does it take on a 5X5 grid?

5!=5*4*3*2*1


How many triangles are there in a 4 by 5 grid?

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!


How many triangles are there in a three by three grid?

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.


How many triangles can you make on a 3X3 grid?

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.


How many triangles are in the 4 by 4 by 4 triangular grid?

30 triangles (1 to the power of 2) + (2^2) + (3^2) + (4^2) = 1 + 4 + 9 + 16 = 30


How do you fit one two three four five six seven and eight into a 5x5 grid?

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


What will be the answer if you have 1 square and in it 36 squares what is the number of squares?

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.


How Many Triangles Are In A 5 by 5 Square?

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


How do you divide a 4 by 4 grid into two identical parts?

draw a line from corner to corner and you have identical triangles!