# 14 of 100: Red Dot Fever

In the image above, 3 dots from the grid (marked red) lie on the hypotenuse of a right triangle. If the corners of the triangle were instead at $$(0,0),$$ $$(1200,0),$$ and $$(1200,1000),$$ how many dots from the grid would lie on the triangle's hypotenuse?

If you don't know where to start, try hunting for a pattern with smaller examples!

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