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Hypotenuse Leg Exploration

Hypotenuse Leg Exploration
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2018-02-25 04:56
TriangleAngleSlider Animation
In collections Triangle Congruence
This example allows students to adjust the lengths of the leg and hypotenuse using sliders and discover that each combination results in only one unique triangle. Key mathematical concepts include triangle properties. It utilizes commands such as Point, Segment, Circle, OrthogonalLine, Intersect, Polygon, and more. Suitable for middle school and above students to learn about triangle properties.

GeoGebra Commands & Parameters

  1. Point(Circle[A, abs(Leg)]) → B
  2. Segment(A, B) → a
  3. Circle(B, Hypotenuse) → c
  4. Point(c) → C
  5. Segment(B, C) → b
  6. OrthogonalLine(A, a) → d
  7. Intersect(c, d) → D, E
  8. Segment(E, C) → e
  9. Polygon(E, B, A) → poly1, a_2, e_1, b_1
  10. Angle(poly1) → α, β, γ
  11. Polygon(A, D, B) → poly2, b_2, a_3, d_1
  12. Angle(poly2) → δ, ε, ζ
  13. Segment(C, D) → f