SOLUTION: A triangular region is enclosed by the lines y=x, y= -x, and y=7. How many lattice points are strictly inside the triangular region?

Question 251904: A triangular region is enclosed by the lines y=x, y= -x, and y=7. How many lattice points are strictly inside the triangular region?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

That would depend a great deal on the granularity and type of lattice. Presuming a square lattice with a granularity of one unit, there are 0 points on the x-axis, one on the line y = 1, 3 on y = 2, and so on. The sum of the first six odd integers is 6 squared or 36.

John

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