467 B
467 B
The points P(x1, y1) and Q(x2, y2) are plotted at integer co-ordinates and are joined to the origin,
O(0,0), to form OPQ.
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 <= x1, y1, x2, y2 <= 2.
Given that 0 <= x1, y1, x2, y2 <= 50, how many right triangles can be formed?