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.
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The 3 angle bisectors of a triangle intersect in a point known as the INCENTER.
Definition of angle bisector:An angle is formed by two rays with a common endpoint. The angle bisector is a ray or line segment that bisects the angle, creating two congruent angles. To construct an angle bisector you need a compass and straightedge.Definition of midpoint:Midpoint of a line segment is the point that is halfway between the endpoints of the line segment. A line segment has only one midpoint. If AB is a line segment and P is the midpoint, then AP = BP =
The point of intersection is called the break even point.
Orthocenter My improvement: The three angle bisectors will intersect at a point called the incenter. At this point it also the center of the largest possible circle within the triangle. Since a circle has a center point, this point within the triangle is called the incenter. The three heights of a triangle will meet at a special point called the orthocenter.
vertex