MathPlotAI Logo MathPlotAI

Pythagoras Theorem Demonstration

Pythagoras Theorem Demonstration
Loading the math board and drawing, please wait…
2014-03-11 05:34
TriangleAngleFunctionGeometric ConstructionSlider Animation
This GeoGebra applet demonstrates Pythagoras' theorem. It constructs a right-angled triangle step-by-step using a slider and measures the lengths of each side. Key mathematical concepts include right-angled triangles and side length relationships. Commands used include Line, Rotate, Angle, Point, Polygon, OrthogonalLine, Segment, and Intersect. Suitable for middle school and above students for learning and teachers for teaching.

GeoGebra Commands & Parameters

  1. Line(Y, Z) → a_2
  2. Rotate(Z, 90*°, Y) → B'
  3. Angle(Z, Y, B') → θ
  4. Line(B', Y) → b_2
  5. Point(b_2) → X
  6. Polygon(X, Y, Z) → poly1, a, b, c
  7. OrthogonalLine(Z, a_2) → d
  8. Polygon(Z, Y, 4) → B, B_1, C_1, e, f, D, E
  9. Polygon(X, Z, 4) → C, z, F, g, h, G, H
  10. Polygon(Y, X, 4) → A, I, z_1, i, j, J, K
  11. Point(Circle[L, c]) → M
  12. Segment(L, M) → n
  13. Polygon(L, M, 4) → poly2, l_1, m_1, p, q, N, O
  14. Point(n) → P
  15. Point(p) → Q
  16. Line(P, Q) → r
  17. Point(poly2) → R
  18. OrthogonalLine(R, r) → s
  19. Intersect(r, s) → S
  20. Polygon(R, N, O, L, P, S) → poly3, r_1, n_1, o, l_2, p_1, s_1
  21. Polygon(M, R, S, P) → poly4, m_2, r_2, s_2, p_2

AI Drawing Prompt Reference

Draw a right-angled triangle with one leg horizontal and the other vertical. Construct squares on the hypotenuse and on each of the two legs, forming the classic Pythagorean theorem diagram. Use a slider to control the size of the triangle and display the measured lengths of all sides. The figure includes the triangle, three squares, auxiliary lines, and a slider for demonstration.
The prompt above was compiled from the original drawing commands and is for reference only.