Sine Law Demonstration by Stacie (Down) Torres

Sine Law Demonstration by Stacie (Down) Torres
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2018-02-08 03:52
This example dynamically demonstrates the Law of Sines in triangle geometry by visualizing side-angle relationships. It involves core math concepts like the Law of Sines, trigonometry, vectors, and matrices. Construction uses commands like Segment, Angle, Textfield for drawing and labeling, InputBoxes for user input, and Ratio objects for ratio calculations to verify the theorem. Sliders allow dynamic parameter adjustments. Suitable for high school mathematics education and geometric construction learning, helping students understand trigonometric functions and geometric transformations.

GeoGebra Commands & Parameters

  1. Segment(A_1, B_1) → c
  2. Segment(B_1, C_1) → a
  3. Segment(C_1, A_1) → b
  4. Angle(B_1, C_1, A_1) → C
  5. Angle(C_1, A_1, B_1) → A_2
  6. Angle(A_1, B_1, C_1) → B
  7. Textfield() → InputBox1
  8. Textfield() → InputBox2
  9. Textfield(a) → Side
  10. Textfield(A_2) → Angle
  11. Textfield(A_2) → InputBox3
  12. Textfield(a) → InputBox4