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Pythagorean Theorem Proof by Alex

Pythagorean Theorem Proof by Alex
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2020-04-16 02:27
TriangleTrigonometryGeometric Construction
This example demonstrates the proof of the Pythagorean Theorem. It involves key mathematical concepts such as right triangles and trigonometric functions. Using GeoGebra commands like Point, Polygon, Line, etc., it constructs a right triangle and geometrically illustrates the theorem's proof. Suitable for middle school and above students for learning and teachers for teaching.

GeoGebra Commands & Parameters

  1. Point(xAxis) → B_1
  2. Polygon(C_1, D, B_1) → t1, b_1, c, d
  3. Polygon(C_1, E, F, B_1) → q1, c_1, e, f, g
  4. Polygon(B_1, G, H, D) → q2, h, g_1, h_1, d_1
  5. Line(C_1, D) → i
  6. OrthogonalLine(C_1, i) → j
  7. OrthogonalLine(D, i) → k
  8. Point(j) → I
  9. Point(k) → J
  10. Polygon(C_1, I, J, D) → q3, c_2, i_1, j_1, d_2
  11. Point(xAxis) → K
  12. Point(xAxis) → L
  13. Point(xAxis) → O
  14. Point(xAxis) → R
  15. Polygon(S, T, N, M) → q4, s, t, n, m
  16. Polygon(K, M, N, L) → q5, k_1, m_1, n_1, l
  17. Polygon(P, O, R, Q) → q6, p, o, r, q
  18. Point(xAxis) → U
  19. Point(xAxis) → V
  20. Polygon(W, Z, U, V) → q7, w, z_1, u, v

AI Drawing Prompt Reference

Draw a right triangle and demonstrate the proof of the Pythagorean Theorem. Construct the triangle and use geometric methods to illustrate the proof, including building multiple auxiliary shapes and lines, forming a complete proof structure.
The prompt above was compiled from the original drawing commands and is for reference only.