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Sum of All Sides

Sum of All Sides
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2020-10-01 11:27
TrianglePolygonAngleCoordinate GeometryGeometric Construction
This example demonstrates the concept of the sum of the sides of a triangle. Key mathematical concepts include the properties of triangles and geometric construction. Using GeoGebra commands such as Point, Segment, Rotate, Angle, etc., a dynamic triangle can be constructed and the changes in its side lengths can be observed. Suitable for middle school and above students to learn the basic properties of triangles.

GeoGebra Commands & Parameters

  1. Point(Circle[X, l]) → Y
  2. Segment(X, Y) → f
  3. Rotate(Y, α, X) → Y'
  4. Angle(Y, X, Y') → γ
  5. Rotate(X, (-β), Y) → X'
  6. Angle(X', Y, X) → δ
  7. Ray(X, Y') → g
  8. Ray(Y, X') → h
  9. AngularBisector(g, f) → i, j
  10. AngularBisector(f, h) → k, m
  11. Intersect(i, m) → A
  12. Segment(X, A) → n
  13. Segment(A, Y) → p
  14. Segment(Y, X) → q
  15. LineBisector(A, X) → r
  16. LineBisector(Y, A) → s
  17. Intersect(f, q) → B_{1}
  18. Intersect(s, f) → C
  19. Intersect(r, f) → B
  20. Segment(A, B) → t
  21. Segment(B, C) → a
  22. Segment(A, C) → b
  23. Angle(C, B, A) → ε
  24. Angle(A, C, B) → ζ
  25. Distance(B, C) → distanceBC
  26. Distance(A, B) → distanceAB
  27. Distance(C, A) → distanceCA
  28. Midpoint(C, A) →
  29. Distance(B, C) → BC
  30. Distance(A, B) → AB
  31. Distance(C, A) → CA

AI Drawing Prompt Reference

Draw a triangle with its incenter marked inside. Connect the incenter to all three vertices with line segments. Label the lengths of all three sides with their numeric values, and display the measures of the three interior angles. Add a label stating "Sum of All Sides" near the diagram.
The prompt above was compiled from the original drawing commands and is for reference only.