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Similar Triangles and Side Lengths

Similar Triangles and Side Lengths
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2018-11-27 03:19
TriangleFunctionGeometric Construction
This example demonstrates the properties of similar triangles and their side length relationships. Key mathematical concepts include the definition and properties of similar triangles. Using GeoGebra commands such as Polygon, PointIn, Line, etc., dynamic displays of the side length ratios of similar triangles are shown. Suitable for students at the junior high school level and above.

GeoGebra Commands & Parameters

  1. Polygon(G, H, I, J) → box, g, h, i, j
  2. PointIn(box) → K
  3. Polygon(A, B, C) → poly1, c, a, b
  4. Line(A, C) → d
  5. Point(d) → D
  6. Line(D, c) → e
  7. Point(d) → F
  8. Line(F, a) → f
  9. Intersect(e, f) → E
  10. Polygon(D, E, F) → poly2, e_1, d_1, f_1
  11. Angle(A, B, C) → α
  12. Angle(B, C, A) → β
  13. Angle(C, A, B) → γ
  14. Angle(D, E, F) → δ
  15. Angle(E, F, D) → ε
  16. Angle(F, D, E) → ζ
  17. Distance(A, B) → distanceAB
  18. Distance(B, C) → distanceBC
  19. Distance(C, A) → distanceCA
  20. Distance(D, E) → distanceDE
  21. Distance(E, F) → distanceEF
  22. Distance(F, D) → distanceFD
  23. Corner(1, 1) → Cnr1
  24. Corner(1, 2) → Cnr2
  25. Corner(1, 3) → Cnr3
  26. Corner(1, 4) → Cnr4
  27. Polygon(CN1, CN2, CN3, CN4) → Panel, cn1, cn2, cn3, cn4