Law of Cosines Demonstration by Alex Ford

Law of Cosines Demonstration by Alex Ford
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2016-02-26 00:58
This example dynamically demonstrates the relationship between the sides and an angle in a triangle, visually illustrating the application of the Law of Cosines; Core math concepts include the Law of Cosines and its use in triangle solving; Construction highlights involve commands like Segment for sides, Polygon for polygons, and Angle for angles, with objects such as A, B, c, C, a, b; Suitable for high school mathematics teaching and student understanding of the Law of Cosines and triangle properties, useful for problem demonstrations and concept deepening.

GeoGebra Commands & Parameters

  1. Segment(A, B) → c
  2. Segment(B, C) → a
  3. Segment(C, A) → b
  4. Polygon(A, C, 4) → poly1, d, e, f, g, D, E
  5. Polygon(C, B, 4) → poly2, h, i, j, k, F, G
  6. Polygon(B, A, 4) → poly3, l, m, n, p, H, I
  7. Angle(B, A, C) → α
  8. Angle(C, B, A) → β
  9. Angle(A, C, B) → γ