The right angled triangle $PQR$ is to be constructed in the $xy$-plane, so that the right angle is at $P$ and $PR$ is parallel to the $x$-axis. The $x$ and $y$ coordinates of $P,Q$ and $R$ are to be integers that satisfy the inequality $−4≤x≤5$ and $6≤y≤16$.
How many different triangles with these properties could be constructed?
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