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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
avatar+14913 
+1

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.

laugh  !

 Jul 5, 2020
 #2
avatar+33615 
+1

I suspect "strictly inside" excludes those on the boundary.

 

 Jul 5, 2020

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