**************************************THE INCENTER **************************************

CONSTRUCTION OF THE INCENTER

1) Draw three points, A,B,C
2) Draw AB,BC,AC
3) Bisect any two angles and find the intersection, D
4) Draw perpendicular line to line segment AB through D, get E
5) Circle center D with radius E

Instructions:
Press Play to see the animation of the center
Or drag any three points around and see how the incenter changes accordingly.

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Additional constructions needed:

1) How to construct an angle bisector, given an angle CAB
Assumption: AC and AB < O
Circle Center A with radius O, get points two points n, p
Circle Center n radius np
Circle Center p radius np, get two points q, r
Draw qr

2.) How to construct a perpendicular line to a line L through a point K
Assumption: OK > KL
Circle Center K with radius O, get points two points n, p
Circle Center n radius np
Circle Center p radius np, get q
Draw qK

Siri Tirumalasetty, Created with GeoGebra