100 Day Summer Challenge

100 problems in 100 days. #100problems

Day 14

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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