A right triangle has vertices on a grid at (0,0), (8,0), and (8,6). There is a point on the hypotenuse, (4,3), made up of integers. The question is: 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?

Question

A right triangle has vertices on a grid at (0,0), (8,0), and (8,6). There is a point on the hypotenuse, (4,3), made up of integers. The question is:  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?

Steve · Answer

every multiple of a 3-4-5 triangle would lie on the grid.