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The Cosine Rule

The Cosine Rule
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2014-08-22 16:06
TriangleTrigonometryGeometric Construction
In collections Trigonometric Rules
This example demonstrates how to use the cosine rule to find the sides and angles of a triangle. Using GeoGebra commands such as Random, Segment, Angle, Distance, etc., students can visually understand the application of the cosine rule. Suitable for middle school and above students to learn trigonometry and geometric construction.

GeoGebra Commands & Parameters

  1. Random(5, 50) → p1
  2. Random(5, 50) → p2
  3. Random(-5, -50) → p3
  4. Random(5, 50) → p4
  5. Random(-50, 50) → p5
  6. Random(-5, -50) → p6
  7. Segment(C, B) → a
  8. Segment(B, A) → b
  9. Segment(A, C) → c
  10. Angle(C, B, A) → α
  11. Angle(B, A, C) → β
  12. Angle(A, C, B) → γ
  13. Distance(a, b) → d
  14. Polygon(C, B, A) → poly1, a_1, c_1, b_1
  15. Angle(C, B, A) → δ
  16. Angle(B, A, C) → ε
  17. Angle(A, C, B) → ζ

AI Drawing Prompt Reference

Draw a triangle ABC with points A, B, and C randomly generated. Connect points A, B, and C to form the three sides a, b, and c of the triangle. Measure and display the degree of the three interior angles α, β, and γ of the triangle.
The prompt above was compiled from the original drawing commands and is for reference only.