Which of the following is a characteristic of an insector of a triangle

The incenter of a triangle is the center of the circle that fits perfectly inside the triangle. The circle is as large as possible without spilling over to any region outside the triangle. 

To get the incenter, you find the intersection of the angle bisectors of the triangle. Angle bisectors are the lines that cut the angles in half.

Choice C

note: you only need to find two of the three bisectors because all three bisectors meet at the same point