Angle bisector

A triangle has different line segments with an intersection. One of the line segments is the bisector

The bisector of an angle is the half-line that runs through the vertex of the angle and divides the angular field into two congruent parts.

• An angle bisector in a triangle is a straight line drawn from a vertex that bisects the vertex angle

• Just like heights and medians, every triangle has three angle bisectors, corresponding to the three vertices

• The intersection of the three bisectors of a triangle is called the center of the incircle

• Der Mittelpunkt befindet sich immer innerhalb des Dreiecks und ist von jeder der drei Seiten eines Dreiecks gleich weit entfernt

Construct angle bisectors

An angle bisector can be constructed using a ruler and a compass. This will:

• a circle drawn around the vertex of the angle.
• Two further circular arcs are drawn around the two intersection points of the circle and the lines.
• Finally, a line, the bisector, is drawn through the intersection of the two arcs.

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