Angle Bisector Ratios

Angle Bisector Ratios
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2016-10-05 23:32
This example demonstrates the ratio of distances from a point on the angle bisector to the two sides of a triangle. Key mathematical concepts include angle bisectors and distance ratios. Using GeoGebra commands such as Polygon, AngularBisector, Intersect, and Distance, the example dynamically shows the ratio of distances from a point on the angle bisector to the two sides of a triangle. Suitable for middle school and above students to learn geometric construction and triangle properties.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. AngularBisector(B, A, C) → f
  3. Intersect(a, f) → D
  4. Angle(D, A, B) → α
  5. Angle(C, A, D) → β
  6. Distance(B, D) → distanceBD
  7. Distance(D, C) → distanceDC
  8. Distance(A, B) → distanceAB
  9. Distance(A, C) → distanceAC
  10. Distance(A, D) → distanceAD
  11. Distance(B, D) → j
  12. Distance(C, D) → k
  13. Distance(A, C) → m
  14. Distance(A, B) → n