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Explore the Properties of a Right Triangle

Explore the Properties of a Right Triangle
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2015-11-03 19:35
TriangleAngleGeometric Construction
This example constructs a right triangle and its circumscribed squares to help students discover and verify the Pythagorean Theorem. By adjusting the side lengths of the triangle and observing the relationship between the areas of the squares, students can intuitively understand the theorem. The construction involves commands such as Polygon, Midpoint, and Angle. Suitable for middle school and above students learning geometry and algebra.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → polygon1, c, a, b
  2. Polygon(B, C, 4) → polygon2, d, e, f, g, D, E
  3. Polygon(A, B, 4) → polygon3, h, i, j, k, F, G
  4. Polygon(C, A, 4) → polygon4, l, m, n, p, H, I
  5. Midpoint(G, B) → J
  6. Midpoint(B, D) → K
  7. Midpoint(H, C) → L
  8. Angle(A, B, C) → α
  9. Angle(C, A, B) → β
  10. Angle(B, C, A) → γ