Problem 91: Right triangles with integer coordinates
The points P (x
1, y
1) and Q (x
2, y
2) are plotted at integer co-ordinates
and are joined to the origin, O(0,0), to form ΔOPQ.
There are exactly fourteen triangles containing a right angle that can be formed
when each co-ordinate lies between 0 and 2 inclusive; that is, 0 ≤ x
1, y
1,
x
2, y
2 ≤ 2.
Given that 0 ≤ x
1, y
1, x
2, y
2 ≤ 50, how many right triangles can be
formed?
Test
{{test}}Console output