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Sine Rule (Part 2)

Sine Rule (Part 2)
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2017-10-31 15:51
TriangleCircleVectorTrigonometryGeometric Construction
This example demonstrates the application of the Sine Rule in triangles, showing the relationship between side lengths and sine values of angles dynamically. Core math concepts include the Sine Rule, triangle geometry, vector operations, and circle construction. Construction highlights the use of GeoGebra commands like Point, Segment, Rotate, Line, Angle, Circle, along with objects such as dist, A, B, AB, Draw, B', h, α, Hleft, Hright, distH, h', f, suitable for high school mathematics teaching and geometric construction learning.

GeoGebra Commands & Parameters

  1. Point(Circle[A, 10]) → B
  2. Segment(A, B) → AB
  3. Point(Circle[B, 5]) → Draw
  4. Rotate(B, 30°, A) → B'
  5. Line(A, B') → h
  6. Segment(A, Point[AB, dist]) → AB'
  7. Angle(B, A, B') → α
  8. Segment(Hleft, Point[Segment[Hleft, Hright], distH]) → h'
  9. Segment(A, B') → f
  10. Segment(B, Draw) → Radius
  11. Circle(B, 5) → Circ