Bisectors of Triangles
An angle bisector of a triangle is a segment that separates an angle of the triangle into two congruent angles. One of the endpoints of an angle bisector is a vertex of the triangle, and the other endpoint is on the side opposite that vertex.
Properties of the angle bisector:
One of the endpoints of an angle bisector is a vertex of the triangle, and the other endpoint is on the side opposite to the vertex. Any point on the angle bisector is equidistant from the sides which form the angle. 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)
Find out more about bisectors of triangles by reading the explanation below.
Practice: Answer the following exercises about bisectors of triangles.