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Proof of Sine Rule 4

Proof of Sine Rule 4
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2018-12-09 20:46
TriangleTrigonometryGeometric Construction
In collections Proof of Sine Rule, Cosine Rule, Area of a Triangle
This example demonstrates the proof of the sine rule. Key mathematical concepts include trigonometry and geometric construction. Using GeoGebra commands such as Intersect, Point, Segment, etc., the relationship between the sides and angles of a triangle is visually illustrated. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → B
  3. Segment(C, A) → b
  4. Segment(A, B) → c
  5. Segment(B, C) → a
  6. OrthogonalLine(B, b) → f
  7. Intersect(f, b) → Y
  8. Segment(Y, B) → m
  9. Angle(A, Y, B) → α
  10. Polygon(Y, A, B) → t1, b_1, y_1, a_1