Locus of the Intersection of Angle Bisectors
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When point A, a vertex of the triangle, moves along a canonical ellipse, the intersection point of the angle bisectors of the triangle also moves along a specific locus. This example demonstrates the dynamic locus of the intersection of angle bisectors, involving trigonometry and coordinate geometry. Using GeoGebra commands such as Point, Segment, AngularBisector, and Intersect, this dynamic figure can be constructed. Suitable for high school mathematics education and learning.
GeoGebra Commands & Parameters
Point(t) → ASegment(A, B) → cSegment(A, C) → dAngularBisector(C, A, B) → eAngularBisector(C, B, A) → fAngularBisector(A, C, B) → gIntersect(e, f) → D