HOW TO CONSTRUCT THIS TOOL:

Incenter and Incircle-

Given triangle ABC,
Construct angle bisectors of angle BAC, ABC, and BCA.
Label bisectors l, m, and n.
Lable intersection of bisectors l, m, and n, point O.
Lable intersection of bisector A with segment BC, point X.
Lable intersection of bisector B with segment AC, point Y.
Lable intersection of bisector C with segment AB, point Z.
segments OX=OY=OZ, by congruent triangles with angle bisectors (SAS).
Construct circle O with radius OX.
Therefore we have constructed the incenter of triangle ABC, point O, and the incircle of triangle ABC, circle O.


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