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Using Sine Rule Exercise 2

Using Sine Rule Exercise 2
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2015-12-30 11:20
VectorTrigonometrySolid GeometryGeometric Construction
This example demonstrates the process of solving problems involving angles and side lengths in triangles using the Sine Rule. Key math concepts include the Sine Rule, triangle geometry, and vector applications in three-dimensional space. The construction uses GeoGebra commands like Segment, Angle, and Distance, along with objects such as n_1, o_1, B_1, A_1, a_1, C_1, b_1, a, H_1, G_1, g_1, I_1, h_1, i_1, α_1, β_1, γ_1, p_1, text2_1, text3_1, text5_1, J_1, K_1, j_2, L_1, k_2, l_2, ε_1, m_2, text5_2, J_2, K_2, j_3, L_2, k_3, l_3, ε_2, m_3, ζ_1, η_1. Suitable for high school students learning and practicing trigonometric applications, and for visualizing vector concepts in solid geometry.

GeoGebra Commands & Parameters

  1. Segment(A_1, B_1) → a_1
  2. Segment(B_1, C_1) → b_1
  3. Segment(C_1, A_1) → a
  4. Segment(G_1, H_1) → g_1
  5. Segment(H_1, I_1) → h_1
  6. Segment(I_1, G_1) → i_1
  7. Angle(C_1, B_1, A_1) → α_1
  8. Angle(H_1, I_1, G_1) → β_1
  9. Angle(I_1, G_1, H_1) → γ_1
  10. Distance(b_1, h_1) → p_1
  11. Segment(J_1, K_1) → j_2
  12. Segment(L_1, K_1) → k_2
  13. Segment(J_1, L_1) → l_2
  14. Angle(J_1, L_1, K_1) → ε_1
  15. Distance(l_2, j_2) → m_2
  16. Segment(J_2, K_2) → j_3
  17. Segment(L_2, K_2) → k_3
  18. Segment(J_2, L_2) → l_3
  19. Angle(J_2, L_2, K_2) → ε_2
  20. Distance(l_3, j_3) → m_3
  21. Angle(B_1, A_1, C_1) → ζ_1
  22. Angle(A_1, C_1, B_1) → η_1
  23. Angle(L_2, K_2, J_2) → ξ_1
  24. Angle(K_2, J_2, L_2) → ο_1
  25. Angle(L_1, K_1, J_1) → ρ_1
  26. Angle(K_1, J_1, L_1) → σ_1
  27. Angle(G_1, H_1, I_1) → τ_1