Find the Square Root of a Positive Number Geometrically

Find the Square Root of a Positive Number Geometrically
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2016-03-24 23:52
This example uses GeoGebra to help students practice finding the square root of a positive number through geometric construction. It demonstrates how to use geometric construction methods to find the square root of a positive number. Key mathematical concepts include geometric construction and square roots. Commands used include Point, Segment, Midpoint, Circle, OrthogonalLine, Intersect, and Line. Suitable for middle school and above students to learn geometric construction and the concept of square roots.

GeoGebra Commands & Parameters

  1. Point(Circle[A, a]) → B
  2. Segment(A, B) → b
  3. Point(Circle[B, 1]) → C
  4. Segment(B, C) → c
  5. Midpoint(A, C) → D
  6. Circle(D, Distance[A, D]) → d
  7. OrthogonalLine(B, c) → e
  8. Intersect(d, e) → E, F
  9. Segment(B, F) → f
  10. Line(A, C) → g