The angle bisectors of xyz intersect at point a, and the perpendicular bisectors intersect at point c. ab_xz what is the radius of the inscribed circle of xyz?

r=4.5 units

Step-by-step explanation:

The incenter is the point forming the center of a circle inscribed in the triangle.  It is constructed by taking the intersection of the angle bisectors of the three vertices of the triangle. Therefore, the point A is the incenter of the triangle XYZ.

The radius of the inscribed circle is obtained by dropping a perpendicular from the incenter to any of the triangle legs. Since AB⊥XZ, then AB is the radius of the inscribed circle.

Thus, r=4.5 units.