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Area: Unit Square Unknown Shape Part 3

Area: Unit Square Unknown Shape Part 3
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2016-03-23 02:19
TrigonometryCoordinate GeometryGeometric Construction
In collections Area/Perimeter Area Lessons
This example demonstrates how to calculate the area of an unknown shape within a unit square. Core math concepts include area calculation, fractions, logic, and cosine functions. Construction involves GeoGebra commands like Segment and Polygon, and objects such as B, D, E, G, text2, O, P, R, U, W, E_1, F_1, a, G_1, b, H_1, c, I_1, d, J_1, e, K_1, f, L_1, g, M_1, h, N_1, i, O_1, j, P_1, p, Q_1, q, R_1, r, S_1, s, T_1. Suitable for high school mathematics teaching, focusing on geometric construction and area calculation.

GeoGebra Commands & Parameters

  1. Segment(E_1, F_1) → a
  2. Segment(F_1, G_1) → b
  3. Segment(G_1, H_1) → c
  4. Segment(H_1, I_1) → d
  5. Segment(I_1, J_1) → e
  6. Segment(J_1, K_1) → f
  7. Segment(K_1, L_1) → g
  8. Segment(L_1, M_1) → h
  9. Segment(M_1, N_1) → i
  10. Segment(N_1, O_1) → j
  11. Segment(O_1, P_1) → p
  12. Segment(P_1, Q_1) → q
  13. Segment(Q_1, R_1) → r
  14. Segment(R_1, S_1) → s
  15. Segment(S_1, T_1) → t
  16. Segment(T_1, U_1) → a_1
  17. Segment(U_1, V_1) → b_1
  18. Segment(V_1, W_1) → c_1
  19. Segment(W_1, Z_1) → d_1
  20. Segment(Z_1, A_2) → e_1
  21. Segment(A_2, B_2) → f_1
  22. Segment(B_2, C_2) → g_1
  23. Segment(C_2, D_2) → h_1
  24. Segment(D_2, E_2) → i_1
  25. Segment(E_2, F_2) → j_1
  26. Segment(F_2, E_1) → k_1
  27. Polygon(G_2, H_2, I_2, J_2) → poly1, g_2, h_2, i_2, j_2