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Practice Law of Cosines (SAS and SSS)

Practice Law of Cosines (SAS and SSS)
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2015-01-29 03:56
TriangleTrigonometryGeometric Construction
This example provides random problems to help students practice the Law of Cosines, including both SAS (two sides and included angle) and SSS (three sides) scenarios. By constructing triangles, students can visually understand the application of the Law of Cosines. Main commands used include random number generation, points, line segments, rotation, angles, rays, and intersection points. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Random(5, 175) → Angle1
  2. Random(1, 5) → Case
  3. Random(1, 180 - Angle1 - 3) → Angle2
  4. Circle(A, leg1) → c
  5. Point(c) → B
  6. Segment(A, B) → a
  7. Rotate(A, (-Angle1)°, B) → A'
  8. Angle(A', B, A) → α
  9. Ray(B, A') → b
  10. Rotate(B, Angle2°, A) → B'
  11. Angle(B, A, B') → β
  12. Ray(A, B') → d
  13. Intersect(b, d) → C
  14. Segment(B, C) → e
  15. Segment(A, C) → f
  16. Angle(A, C, B) → γ
  17. Midpoint(f) → D
  18. Midpoint(e) → E
  19. Midpoint(a) → F