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www.mikescher.com/www/statics/euler/Euler_Problem-091_description.md
2018-01-01 23:03:05 +01:00

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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`.
![img](/data/images/blog/p091_1.gif)
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.
~~~
![img](/data/images/blog/p091_2.gif)
Given that `0 <= x1, y1, x2, y2 <= 50`, how many right triangles can be formed?