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Explore Law of Cosines - SSS

Explore Law of Cosines - SSS
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2015-01-29 03:54
TriangleTrigonometryGeometric ConstructionSlider Animation
This example demonstrates the Law of Cosines when SSS (Side-Side-Side) information is given by manipulating the triangle and observing changes in the equation and measures. Key math concepts include the Law of Cosines and triangle geometry. GeoGebra commands and objects used in construction are Circle, Line, Intersect, Segment, and Angle. Suitable for high school students learning trigonometry and geometric constructions.

GeoGebra Commands & Parameters

  1. Circle(Angle3, Left) → c
  2. Circle(Angle3, Bottom) → d
  3. Line(Angle3, A) → a
  4. Intersect(d, a, 2) → Angle2
  5. Segment(Angle3, Angle2) → BottomSide
  6. Circle(Angle2, Third) → e
  7. Intersect(e, c) → B, Angle1, ,
  8. Segment(Angle3, Angle1) → LeftSide
  9. Segment(Angle1, Angle2) → ThirdSide
  10. Angle(Angle1, Angle2, Angle3) → α
  11. Angle(Angle2, Angle3, Angle1) → β
  12. Angle(Angle3, Angle1, Angle2) → γ