# How many different triangles with these properties could be constructed

How many different triangles with these properties could be constructed

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 âˆ’4â‰¤xâ‰¤5 and 6â‰¤yâ‰¤16.

How many different triangles with these properties could be constructed? Please explain how you got your answer.