Directions: Carry Two Marks Each.

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 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?