Answer:
(b,a) is the Circumcenter
Step-by-step explanation:
We need at least two perpendicular bisectors in order to find the circumcenter which is their intersection. Using both legs, we have the equations x=b and y=a as the equations of Perpendicular bisectors of Segment XZ & Segment XY.
If you want to know what conjecture you can make about the diameter of a circle that is circumscribed about a right triangle:
Triangle ABC is a right angle, and the circumcenter lies at the midpoint of the hypotenuse. So the length of the hypotenuse is equal to the length of the diameter of the circumscribed circle.
