Construction of Triangle Incircle via Angle Bisectors

Construction of Triangle Incircle via Angle Bisectors
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2016-04-26 22:35
This example demonstrates the geometric construction of a triangle's incircle. Key mathematical concepts involved include angle bisectors, the incenter, and the properties of inscribed circles. The construction utilizes GeoGebra commands such as AngularBisector to find the intersection point of three bisectors, which serves as the center, and Circle to draw the tangent circle. It is suitable for high school geometry students and educators illustrating triangle properties.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Segment(B, C) → g
  3. Segment(C, A) → h
  4. AngularBisector(A, C, B) → i
  5. AngularBisector(C, A, B) → j
  6. AngularBisector(A, B, C) → k
  7. Intersect(i, j) → D
  8. OrthogonalLine(D, g) → l
  9. Intersect(l, g) → E
  10. Circle(D, E) → c