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Square Root Construction

Square Root Construction
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2017-06-20 13:38
Geometric Construction
This example demonstrates how to construct a square root using geometric construction. Key mathematical concepts include square roots and geometric construction. Commands used include point, intersect, semicircle, line, orthogonal line, segment, and polygon. Suitable for middle school and above students learning geometric construction.

GeoGebra Commands & Parameters

  1. Point({α, 0}) → B
  2. Intersect(xAxis, yAxis) → A
  3. Semicircle(A, B) → c
  4. Line(A, B) → f
  5. OrthogonalLine(E, f) → h
  6. Point(xAxis) → C
  7. Intersect(c, h) → D,
  8. Segment(C, D) → CD
  9. Polygon(A, B, D) → poly1, d, a, b
  10. Polygon(A, D, C) → poly2, c_1, a_1, d_1
  11. Polygon(C, B, D) → poly3, d_2, c_2, b_1
  12. Segment(C, B) → CB