Asked by Cheyenne
How many small triangles are in a triangular grid that has 20 units on a side. Please show me a formula to figure it out . Thanks
Answers
Answered by
Steve
Draw a few small grids. You can see that you get
#units #triangles
2 1
3 3
4 5
5 7
...
each new row adds two triangles in its length
and as you may recall, the sum of the first n odd numbers is n^2
So, there are (n-1)^2 triangles in a grid n units on a side.
#units #triangles
2 1
3 3
4 5
5 7
...
each new row adds two triangles in its length
and as you may recall, the sum of the first n odd numbers is n^2
So, there are (n-1)^2 triangles in a grid n units on a side.
Answered by
Kathy
Don't get it
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