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Proof of the Pythagorean Theorem

Proof of the Pythagorean Theorem
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2020-08-17 15:44
TriangleAngleGeometric Construction
This example demonstrates the proof of the Pythagorean Theorem, which states that in a right-angled triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides. Using GeoGebra commands such as Segment, Angle, Point, etc., the construction process is visually illustrated. Suitable for middle school and above students to learn geometric proofs.

GeoGebra Commands & Parameters

  1. Segment(C, A) → h
  2. Segment(D, E) → i
  3. Segment(E, F) → j
  4. Segment(F, D) → k
  5. Angle(D, F, E) → α
  6. Point(h) → G
  7. Segment(G, H) → l
  8. Segment(I, H) → m
  9. Angle(G, H, I) → β
  10. Textfield(f) → InputBox1
  11. Textfield(g) → InputBox2

AI Drawing Prompt Reference

Draw a right triangle with its right angle marked, then construct two squares on the legs and the hypotenuse, showing the geometric proof that the area of the square on the hypotenuse equals the sum of the areas of the squares on the other two sides, by sequentially drawing the triangle's sides, the squares' sides, and the angles, then labeling the key relationships between the angles and sides.
The prompt above was compiled from the original drawing commands and is for reference only.