Question

The angle bisectors of triangle xyz intersect at point a, and the perpendicular bisectors intersect at point c. is perpendicular to . what is the radius of the inscribed circle of triangle xyz? a. 3.3 units b. 4.5 units c. 7 units d. 9 units e. 11 units

Answer 1

The radius of the inscribed circle of triangle XYZ is 4.5 units.

What are the incenter and circumcenter of a triangle?

The intersection point of angle bisectors is called the

in-center of the triangle while the intersection point of perpendicular bisectors is called the circumcenter of the circle.

The radius of the inscribed circle is the length of the perpendicular drawn from the incenter to the sides of the triangle.

In the given diagram, A will be the incenter while C will be the circumcenter.

So, the length of the perpendicular drawn from A to side XZ =AB =4.5units

So, the radius of the inscribed circle of triangle XYZ=4.5 units

Therefore, the radius of the inscribed circle of triangle XYZ is 4.5 units

To get more about incenter visit:

https://brainly.com/question/1831482

Answer 2

Answer:

4.5

Step-by-step explanation: