Question

If you construct the inscribed circle of a triangle, then what is the name for the point where the three angle bisectors of a triangle interest?

a. the circumcenter
b. the centroid
c. the incenter
d. the orthocenter

Answer 1

The point where the three angle bisectors of a triangle intersect is called the **incenter**. It is the center of the inscribed circle (incircle) of the triangle. Therefore, the correct answer is:

c. the incenter