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Law of Cosines by Alex Ford

Law of Cosines by Alex Ford
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2015-12-12 04:48
AngleTrigonometryGeometric Construction
This example demonstrates the Law of Cosines, which states that in any quadrilateral, the square of one side is equal to the sum of the squares of the other two sides minus twice their product with the cosine of the included angle. Key mathematical concepts include the Law of Cosines, quadrilaterals, and angles. It is constructed using GeoGebra commands such as Segment, Polygon, and Angle. Suitable for high school mathematics education and learning.

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