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A lattice point is a point whose coordinates are integers. How many lattice points are strictly inside the triangle formed by the points (0,0), (0,7), and (8,0)?

Jul 5, 2020

#1
+10600
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A lattice point is a point whose coordinates are integers. How many lattice points are strictly inside the triangle formed by the points (0,0), (0,7), and (8,0)?

Hello Guest!

$$f(x)=-\frac{7}{8}x+7$$

lattice points: 8+7+6+5+4+3+2+1+1

There are 37 lattice points in the triangle.

!

Jul 5, 2020
#2
+31340
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I suspect "strictly inside" excludes those on the boundary.

Jul 5, 2020