45°-45°-90° Special Right Triangle Part 1

45°-45°-90° Special Right Triangle Part 1
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2016-09-18 03:16
This example demonstrates the properties and construction of a 45°-45°-90° special right triangle. Key math concepts include right triangles, special angles, side length ratios, and geometric construction. It uses GeoGebra commands/objects like Point, Segment, Polygon, Angle, and Distance to illustrate the triangle's characteristics, suitable for high school students learning about special right triangles.

GeoGebra Commands & Parameters

  1. Point(Circle[A, a]) → B
  2. Segment(A, B) → f
  3. Polygon(A, B, 4) → poly1, g, h, i, j, C, D
  4. Segment(A, C) → k
  5. Angle(B, A, C) → α
  6. Angle(C, B, A) → β
  7. Distance(A, C) → distanceAC
  8. Distance(A, B) → distanceAB
  9. Distance(B, C) → distanceBC