+64 A lattice point is an ordered pair (x, y) where both x and y are integers. A triangle is formed
by the three points (1, 1), (9, 1), and (9, n). For what integer value of n > 0 are there exactly 560 lattice
points strictly in the interior of the triangle?
+118687 The first think I would do is start drawing triangles on some grid paper.
They way maybe I can come up with some formula for this.
Have you tried that? Or have you thought of anything else?
+118687 A lattice point is an ordered pair (x, y) where both x and y are integers. A triangle is formed
by the three points (1, 1), (9, 1), and (9, n). For what integer value of n > 0 are there exactly 560 lattice
points strictly in the interior of the triangle?
I'm quite sure there is a better way to do this
but
First I translated the points to (0,0), (8,0) and (8,n) n>=0 because i thought it sould be easier
then drew up a dot grid and counted the number of extra dots each time n increased by 1
this looks like a pattern, assuming that it continues this way ...
560/28 = 20
20+1=21
I think the answer is 21 ....
