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
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.