MPM2DC Investigating the Cosine Law

MPM2DC Investigating the Cosine Law
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2016-10-28 20:51
This GeoGebra example demonstrates the geometric and algebraic relationships underlying the Cosine Law in a triangle, showing how side lengths relate to the cosine of their opposite angles. Core mathematical concepts include the Cosine Law, triangle side-angle relationships, and trigonometry. The construction utilizes the Polygon command to build triangle poly1, the Angle command to measure interior angles α, β, γ, and defines vertices A, B, C, side lengths a, b, c, along with text objects text1 through text5 to dynamically display formulas and values. It is highly suitable for high school mathematics, trigonometry, and geometry classes, particularly for inquiry-based learning and theorem verification.

GeoGebra Commands & Parameters

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