The circumcenter also called incenter. Whichever one you like the best out of these 2.
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Not true!
It is the incentre. The circumcentre is where the perpendicular bisectors of the sides meet.
Using the incentre as centre, you can draw a circle to which all three sides of the triangle are tangents. The circle is the biggest circle that will fit IN the triangle.
Using the circumcentre as centre, you can draw a circle which passes through all three vertices of the triangle. The circle is the smallest circle that will contain (circumscribe) the triangle.
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The three angle bisectors in a triangle always intersect in one point, and this intersection point always lies in the interior of the triangle. The intersection of the three angle bisectors forms the center of the circle in- scribed in the triangle. (The circle which is tangent to all three sides.) The angle bisectors meet at the incenter which has trilinear coordinates.
Angle bisectors intersect at the incenter which is equidistant from the sides
The name of the point at which all of a triangle's angle bisectors converge is the incenter.
The 3 angle bisectors of a triangle intersect in a point known as the INCENTER.
The circumcenter, the incenter is the point of concurrency of the angle bisectors of a triangle.