Pythagorean Theorem with Triangles

Pythagorean Theorem with Triangles
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2017-01-05 00:49
This example demonstrates the Pythagorean theorem using triangles. It involves key mathematical concepts such as the Pythagorean theorem, triangle properties, and geometric mean. Using GeoGebra commands like Intersect, Angle, and Segment, a dynamic triangle is constructed to illustrate the application of the Pythagorean theorem. Suitable for middle school and above students to learn geometric construction and the Pythagorean theorem.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Angle(A, B, C) → α
  3. Segment(A, B) → s
  4. Segment(B, C) → t
  5. Segment(C, A) → c
  6. Polygon(A, C, 3) → Area_C, i, j, n, E
  7. Polygon(C, B, 3) → Area_B, k_1, l_1, m_1, R
  8. Polygon(B, A, 3) → Area_A, h_1, i_1, j_1, Q
  9. Polygon(B, A, 3) → poly1, f, g, h, D
  10. Polygon(C, B, 3) → poly2, k, l, m, I
  11. Polygon(A, C, 3) → poly3, q, r, e, N