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Cosine Law Exploration

Cosine Law Exploration
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2016-01-08 10:24
TrigonometryCoordinate GeometryGeometric Construction
This example demonstrates the application of the Cosine Law through dynamic geometric shapes. The Cosine Law describes the relationship between the sides and angles of a triangle. By constructing a triangle and adjusting angles and side lengths, observe the changes in the side lengths to understand the geometric meaning of the Cosine Law. The construction uses Polygon, Angle, text, and line segments in GeoGebra.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → poly1, c, a, b
  2. Angle(B, A, C) → α
  3. Angle(A, C, B) → β
  4. Angle(C, B, A) → γ