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Explore the Golden Ratio in Real Life Objects

Explore the Golden Ratio in Real Life Objects
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2019-03-23 18:42
Geometric Construction
This example explores the golden ratio in real-life objects. The golden ratio is a special mathematical proportion commonly found in nature and art. Using commands like Segment, If, Polygon, and RotateText, a geometric figure containing the golden ratio is created. Suitable for middle school and above students to learn about the concept and application of the golden ratio.

GeoGebra Commands & Parameters

  1. Segment(A, B) → l_{AB}
  2. If(portrait ≟ true, (Length[l_{AB}] * goldenratio), (2 * Length[l_{AB}] / (1 + sqrt(5)))) → h_{AD}
  3. Polygon(A, B, C, D) → q1, a, b, c, d
  4. RotateText(textHandleCorner20, (-(90°))) → textHandleCorner2