Right triangle $PQR$ is to be constructed in the xy-plane so that the right angle is at $P$ and line $PR$ is parallel to the x-axis. The $x$ and $y$ coordinates of $P, Q$ and $R$ are to be integers that satisfy the inequalities: $-4\leq x\leq 5$ and $6\leq y\leq 16$. How many different triangles could be constructed with these properties?
- $110$
- $1,100$
- $9,900$
- $10,000$