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Exploring Right Triangles - Side Lengths

Exploring Right Triangles - Side Lengths
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2016-10-22 05:08
TriangleCoordinate GeometryGeometric Construction
This example demonstrates the relationship between the side lengths of a right triangle. Key mathematical concepts include the properties of right triangles and the Pythagorean theorem. Using GeoGebra commands such as Line, OrthogonalLine, Intersect, Segment, and Point, you can dynamically explore the changes in the side lengths of a right triangle. Suitable for middle school and above students to learn geometric construction and triangle properties.

GeoGebra Commands & Parameters

  1. Line(A, B) → f
  2. OrthogonalLine(C, f) → g
  3. Intersect(g, f) → D
  4. Intersect(f, g) → E
  5. Segment(D, B) → h
  6. Point(g) → F
  7. Point(h) → G
  8. Segment(F, G) → c
  9. Segment(F, D) → a
  10. Segment(D, G) → b
  11. Angle(F, D, G) → α
  12. Intersect(c, a) → H
  13. Intersect(c, b) → I
  14. Textfield(a) → InputBox1
  15. Textfield(b) → InputBox2