The points P (`x`<sub>1</sub>, `y`<sub>1</sub>) and Q (`x`<sub>2</sub>, `y`<sub>2</sub>) are plotted at integer co-ordinates and are joined to the origin, O(0,0), to form ΔOPQ.
<imgclass="img-responsive center-block"alt="a graph plotting points P (x_1, y_1) and Q(x_2, y_2) at integer coordinates that are joined to the origin O (0, 0)"src="https://cdn-media-1.freecodecamp.org/project-euler/right-triangles-integer-coordinates-1.png"style="background-color: white; padding: 10px;">
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`<sub>1</sub>, `y`<sub>1</sub>, `x`<sub>2</sub>, `y`<sub>2</sub> ≤ 2.
<imgclass="img-responsive center-block"alt="a diagram showing the 14 triangles containing a right angle that can be formed when each coordinate is between 0 and 2"src="https://cdn-media-1.freecodecamp.org/project-euler/right-triangles-integer-coordinates-2.png"style="background-color: white; padding: 10px;">