MathPlotAI Logo MathPlotAI

Identifying Sides of Right Triangles

Identifying Sides of Right Triangles
Loading the math board and drawing, please wait…
2018-01-05 03:52
TriangleAngleGeometric Construction
In collections GCSE Higher Ch5 Angles & Trigonometry
This example demonstrates the concepts of 'OPPOSITE LEG' and 'ADJACENT LEG' with respect to an acute angle in a right triangle. It involves core math concepts like right triangles, acute angles, opposite sides, and adjacent sides. Construction highlights the use of GeoGebra commands/objects such as Segment, OrthogonalLine, Point, Angle, Polygon, Vector, Translate, and Dilate. Suitable for middle school and above students to understand and differentiate the sides in right triangles.

GeoGebra Commands & Parameters

  1. Segment(A, B_1) → ADJACENT_A
  2. OrthogonalLine(B_1, ADJACENT_A) → b
  3. Point(b) → B
  4. Segment(A, B) → HYPOTENUSE_1
  5. Segment(B, B_1) → OPPOSITE_A
  6. Angle(B, B_1, A) → α
  7. Polygon(A, B_1, B) → poly1, c, a, b_1
  8. Vector(D, E) → u
  9. Vector(F, G) → v
  10. Translate(A, v) → A'_3
  11. Translate(B_1, v) → B'_3
  12. Translate(B, v) → C'
  13. Polygon(A'_3, B'_3, C') → poly1', c', a', b'
  14. Translate(A, v) → A'_1
  15. Translate(B_1, v) → B'_1
  16. Segment(A'_1, B'_1) → ADJACENT'
  17. Translate(A, v) → A'_2
  18. Translate(B, v) → C'_1
  19. Segment(A'_2, C'_1) → HYPOTENUSE'
  20. Translate(B, v) → C'_2
  21. Translate(B_1, v) → B'_2
  22. Segment(C'_2, B'_2) → OPPOSITE'
  23. Translate(D, v) → D'
  24. Dilate(A'_3, 0.5, H) → A'
  25. Dilate(B'_3, 0.5, H) → B''
  26. Dilate(C', 0.5, H) → B'
  27. Polygon(A', B'', B') → poly1'', c'', a'', b''
  28. Dilate(A'_1, 0.5, H) → I
  29. Dilate(B'_1, 0.5, H) → J
  30. Segment(I, J) → ADJACENT_A'
  31. Dilate(A'_2, 0.5, H) → K
  32. Dilate(C'_1, 0.5, H) → L
  33. Segment(K, L) → HYPOTENUSE
  34. Dilate(C'_2, 0.5, H) → M
  35. Dilate(B'_2, 0.5, H) → N
  36. Segment(M, N) → OPPOSITE_A'
  37. Angle(B_1, A, B) → β
  38. Angle(b'', OPPOSITE_A') → δ
  39. Angle(A, B, B_1) → ε
  40. Angle(B', B'', A') → ζ
  41. Segment(A', B'') → OPPOSITE_B'
  42. Segment(B'', B') → ADJACENT_B'
  43. Segment(A, B_1) → OPPOSITE_B
  44. Segment(B_1, B) → ADJACENT_B
  45. Angle(B'', A', B') → η