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Average of 3 Numbers

Average of 3 Numbers
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2016-10-04 05:33
VectorCoordinate GeometryGeometric Construction
This example demonstrates how to construct a triangle in GeoGebra and calculate the average coordinates of its three vertices. Core math concepts include coordinate geometry, vectors, and triangle geometry properties. Construction highlights involve commands like Point, OrthogonalLine, Intersect, Segment, and Line. Suitable for high school mathematics education, illustrating the application of coordinate geometry and vectors in geometric problems.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. OrthogonalLine(A, xAxis) → h
  3. Point(xAxis) → B
  4. Point(xAxis) → C
  5. Intersect(f, h) → D
  6. OrthogonalLine(B, xAxis) → i
  7. OrthogonalLine(C, xAxis) → j
  8. Intersect(f, i, 1) → E
  9. Intersect(f, j, 1) → F
  10. Segment(B, D) → k
  11. Line(E, k) → l
  12. Intersect(h, l) → G
  13. Segment(C, G) → m
  14. Line(F, m) → n
  15. Intersect(h, n) → H
  16. Intersect(f, xAxis, 1) → I
  17. Segment(H, I) → p
  18. Point(xAxis) → J
  19. Point(xAxis) → K
  20. Point(xAxis) → L
  21. Segment(H, J) → q
  22. Line(K, q) → r
  23. Line(L, r) → s
  24. Intersect(s, p) → M
  25. Line(M, xAxis) → t