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?

Answer:
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.