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GeoGebraGeoGebra Classroom

Angle Bisector with Incenter

Directions

1) Use the POLYGON tool Toolbar Image to construct triangles A(2,3) B(6,13) and C(14,3) 2) Use the INTERSECTION tool Toolbar Image to construct the Angle Bisector of each side 3) Use the POINT tool Toolbar Image to construct the intersection of the 3 Angle Bisectors and record its coordinates on your worksheet. 4) Use the SEGMENT tool Toolbar Image to construct the segment from the incenter to the sides and make sure the segments is perpendicular to the side.

Questions

1)Is it ever possible for a triangle's INCENTER to lie OUTSIDE the triangle If so, under what condition(s) will this occur? 2) Is it ever possible for a triangle's INCENTER to lie ON the triangle itself? If so, under what condition(s) will this occur?