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Geometric Representation of sqrt(a+b)

Geometric Representation of sqrt(a+b)
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2019-04-17 10:08
FunctionCoordinate GeometryGeometric Construction
In collections Pythagoras
This example demonstrates the geometric representation of sqrt(a+b). It involves the root operation and algebraic expression in geometry. Using GeoGebra commands such as Point, Segment, Polygon, etc., a geometric figure containing the square root expression can be constructed. Suitable for students at junior high school level and above to learn the combination of algebra and geometry.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Point(xAxis) → B
  3. Segment(A, B) → f
  4. Point(f) → C
  5. Polygon(B, C, 4) → q, l, m, n, q_1, F, G
  6. Polygon(C, A, 4) → p, g, i, j, k, D, E
  7. OrthogonalLine(C, xAxis) → p_1
  8. Point(p_1) → H
  9. Segment(H, I) → r
  10. OrthogonalLine(H, r) → s
  11. Point(r) → J
  12. Circle(J, i) → c
  13. Intersect(c, s, 2) → K
  14. Circle(J, q_1) → d
  15. Intersect(d, s, 1) → L
  16. Polygon(K, J, 4) → poly1, t, a, b, e, M, N
  17. Polygon(J, L, 4) → poly2, f_1, g_1, h_1, i_1, O, P
  18. Angle(K, J, L) → α
  19. Segment(K, L) → j_1
  20. Segment(A, C) → k_1
  21. Segment(C, B) → l_1