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Pythagorean Theorem Proof by kirk.culler

Pythagorean Theorem Proof by kirk.culler
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2011-10-20 00:15
TriangleCoordinate GeometryGeometric Construction
In collections Area Demonstrations
This example demonstrates the Pythagorean Theorem, a core concept in geometry, using a triangle's side lengths to prove the theorem. It utilizes GeoGebra commands such as Point, Intersect, Line, OrthogonalLine, and Polygon. Suitable for middle and high school students learning geometric proofs.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Point(yAxis) → B
  3. Intersect(xAxis, yAxis) → C
  4. Line(C, A) → a
  5. OrthogonalLine(C, a) → b
  6. Polygon(C, B, A) → poly1, a_1, c, b_1
  7. Polygon(B, A, 4) → poly2, b_2, a_2, d, e, D, E
  8. Polygon(C, B, 4) → poly3, c_1, b_3, f, g, F, G
  9. Polygon(A, C, 4) → poly4, a_3, c_2, h, i, H, I

AI Drawing Prompt Reference

Draw a right triangle with its right angle at the origin, with two legs parallel to the x and y axes. From the right angle vertex, draw a line perpendicular to one leg and extend it outward. Form a quadrilateral using the right angle vertex and the intersection point of this perpendicular line with the other leg. Then, create two similar quadrilaterals using the right angle vertex and the other two vertices, demonstrating the geometric proof of the Pythagorean theorem.
The prompt above was compiled from the original drawing commands and is for reference only.