Angle Bisectors of Triangles

Investigating Angle Bisectors
1. Open Geogebra's Geometry App and draw an acute triangle in the center of your screen.[br]2. Use the Angle Bisector Tool under the Point Menu to bisect all three angles of the triangle.[br]3. Label the intersection of the intersection of the angle bisectors.[br]3. Use the circle tool to construct a circle centered at the intersection of the angle bisectors and touching the sides of the triangle as shown.[br]4. Move anyone of the vertices of the triangle to change the shape of the triangle.
Construction of the incenter
Questions
The angle bisectors of a triangle intersect at one point.
The intersection of the angle bisectors of a triangle is called the incenter. The incenter is equidistant from the sides of the triangle
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Information: Angle Bisectors of Triangles