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Right Triangle Properties by Norm Prokup

Right Triangle Properties by Norm Prokup
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2016-11-06 07:24
TriangleAngleGeometric Construction
This example demonstrates the properties of right triangles. Key mathematical concepts include right triangles, similar triangles, and basic triangle properties. Using GeoGebra commands such as Semicircle, Point, Polygon, Segment, and Angle, the construction of right triangles and the observation of their properties are illustrated. Suitable for middle and high school students to learn geometric construction and properties of right triangles.

GeoGebra Commands & Parameters

  1. Semicircle(A, B) → c
  2. Point(c) → C
  3. Polygon(A, E, D, B) → poly1, a, d, e, c_1
  4. Polygon(A, C, B, G) → poly2, a_1, b, c_2, f
  5. Segment(F, C) → g
  6. Angle(B, F, C) → α
  7. Angle(C, F, A) → β
  8. Polygon(A, E, C) → poly3, b_1, a_2, d_1
  9. Polygon(C, B, D) → poly4, e_1, b_2, c_3
  10. Polygon(A, B, G) → poly5, f_1, a_3, c_4
  11. Angle(F, A, C) → γ
  12. Angle(C, B, F) → δ
  13. Angle(A, C, F) → ε
  14. Angle(F, C, B) → ζ
  15. Angle(A, C, B) → η
  16. Semicircle(B, A) → h
  17. Angle(E, A, C) → θ
  18. Angle(E, C, A) → ι