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Geometric Mean Exploration with Right Triangles

Geometric Mean Exploration with Right Triangles
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2016-03-09 22:55
TriangleTrigonometry
This example demonstrates the concept of geometric mean in right triangles. Using GeoGebra commands such as Segment, OrthogonalLine, and Point, the construction explores the properties of geometric mean in right triangles. Suitable for students at the middle school level and above for learning geometric construction and related concepts.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. OrthogonalLine(A, a) → b
  3. Point(b) → C
  4. Segment(B, C) → c
  5. OrthogonalLine(A, c) → d
  6. Angle(B, A, C) → α
  7. Intersect(d, c) → D
  8. Angle(C, D, A) → β
  9. Segment(A, C) → e
  10. Segment(A, D) → f
  11. Angle(A, C, D) → γ
  12. Angle(D, A, C) → δ
  13. Angle(D, B, A) → ε
  14. Angle(B, A, D) → ζ