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Pythagorean Triangle Demo

Pythagorean Triangle Demo
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2014-02-03 12:32
TriangleAngleGeometric Construction
This example demonstrates the Pythagorean theorem with a right-angled triangle. It involves core concepts like the Pythagorean theorem, right triangles, and side length relationships. Constructed using GeoGebra commands such as Segment, OrthogonalLine, Point, Polygon, and Angle. Suitable for middle school and above students to understand and verify the theorem.

GeoGebra Commands & Parameters

  1. Segment(A, B) → a
  2. OrthogonalLine(B, a) → b
  3. Point(b) → C
  4. Segment(C, B) → c
  5. Segment(A, C) → d
  6. Polygon(B, A, 4) → poly1, e, f, g, h, D, E
  7. Polygon(A, C, 4) → poly2, i, j, k, l, F, G
  8. Polygon(C, B, 4) → poly3, m, n, p, q, H, I
  9. Angle(C, B, A) → α

AI Drawing Prompt Reference

Draw a right-angled triangle ABC with AB as the base, BC as the perpendicular side, and AC as the hypotenuse. First, draw segment AB, then draw a perpendicular line to AB through point B, and mark the intersection as point C. Finally, draw the three angles of triangle ABC and label them as angle A, angle B, and angle C.
The prompt above was compiled from the original drawing commands and is for reference only.