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2017-11-08 17:39:50 +01:00
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`.
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![img](/data/images/blog/p091_1.gif)
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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.
~~~
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![img](/data/images/blog/p091_2.gif)
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Given that `0 <= x1, y1, x2, y2 <= 50`, how many right triangles can be formed?