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Deriving the Law of Sines

Deriving the Law of Sines
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2020-04-03 17:06
TriangleCircleTrigonometryGeometric Construction
This example demonstrates how to derive the Law of Sines through geometric construction. It involves concepts of angles and circles. Using GeoGebra commands such as Intersect, Circle, Point, and Polygon, the geometric meaning of the Law of Sines is clearly illustrated. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → D
  2. Circle(D, 1) → circle
  3. Point(circle) → B
  4. Point(circle) → C
  5. Point(circle) → A
  6. Polygon(A, B, C) → t1, c, a, b