## Angle Bisector construction

A simple applet to show that the three angle bisectors of a triangle
meet in a single point.

The three vertices of the triangle above can each be dragged to show
that
the angle bisectors still meet in a single point when we look at other
triangles

When a mathematician sees a behavior like this that works with all
triangles
(or at least with a bunch of examples that we have looked at) the
suspicion is that there must be a structure that helps us prove that it
must always happen. The slider ProofSteps lets us go through the proof.
From any point on an angle
bisector, we can drop a perpendicular to the two sides and construct a
circle that is tangent to those two sides. Moving down the bisector we
reach a point where the circle is tangent to all three sides. That
point must be on all three angle bisectors.

Created with GeoGebra

GeoGebra is a GNUed software package for mathematics visualization.
The home for the applications is http://www.geogebra.org.

Return to the GeoGebra Applet page.

Return to the
Applets for courses below calculus page.

Return to the Calculus
Applet page.

Return to the Saint Louis University Department of Mathematics and Computer Science
home page

Last updated By Mike May,
S.J., August 11, 2007.

Converted to GeoGebra 5 Mike May,
S.J., May 27, 2016.