Interactive Geometry Dictionary
Some Properties of the Angle Bisector
What can you say about the
three angle bisectors belonging to a triangle?
In the applet below, the angle bisectors of all three angles of a triangle
have been constructed. Drag the vertices to change the triangle. What
is always true of the three angle bisectors of a triangle?
Theorem
The three angle
bisectors of a triangle all pass through one point. The point of intersection
is the incenter of the triangle.
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