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Pythagorean Triples by Pablo Montero

Pythagorean Triples by Pablo Montero
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2020-02-23 01:29
SequenceCoordinate GeometryGeometric Construction
This example demonstrates the generation and visualization of Pythagorean triples. It involves core mathematical concepts such as the Pythagorean theorem, sequences, and coordinate geometry. The construction utilizes GeoGebra commands like Sequence, Point, IndexOf, and Flatten, along with objects like l1, A, a, l2, b, l3, B, and text1. It is suitable for middle school and above students to understand Pythagorean triples and their properties, serving as an educational tool for demonstration purposes.

GeoGebra Commands & Parameters

  1. Sequence(Sequence[(((2 * m) * n), abs(m^(2) - n^(2))), m, 1, 50], n, 1, 50) → l1
  2. Point(l1) → A
  3. Sequence(Sequence[(m, n), m, 1, 50], n, 1, 50) → l2
  4. IndexOf(A, Flatten[l1]) → b
  5. Flatten(l2) → l3