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Solving for Sides in a Right Triangle by Tim Brzezinski

Solving for Sides in a Right Triangle by Tim Brzezinski
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2019-02-05 01:43
AngleTrigonometryGeometric Construction
In collections Geometry Review
This example demonstrates how to solve for the sides of a right triangle using trigonometric functions. Key mathematical concepts include sine, cosine, and side ratios. Using GeoGebra commands such as Sequence, RandomElement, Rotate, etc., the angle and side lengths can be dynamically adjusted to observe changes in trigonometric functions. Suitable for middle school and above students to learn trigonometry and geometric construction.

GeoGebra Commands & Parameters

  1. Sequence(5, 20, 0.1) → adjacentlist
  2. RandomElement(adjacentlist) → adj
  3. Random(15, 75) → angle
  4. Rotate(A, (57 * π / 180), B) → A'
  5. Ray(B, A') → g
  6. Segment(A, B) → k
  7. Sequence(i°, i, 30, 60, 1) → list1, {30*°, 31*°, 32*°, 33*°, 34*°, 35*°, 36*°, 37*°, 38*°, 39*°, 40*°, 41*°, 42*°, 43*°, 44*°, 45*°, 46*°, 47*°, 48*°, 49*°, 50*°, 51*°, 52*°, 53*°, 54*°, 55*°, 56*°, 57*°, 58*°, 59*°, 60*°}
  8. RandomElement(list1) → ang
  9. Rotate(C, ang, B) → C'
  10. Angle(C, B, C') → α
  11. Ray(B, C') → h
  12. Intersect(f, h) → D
  13. Polygon(B, A, D) → poly1, d, b_1, a_1
  14. Segment(B, D) → m
  15. Segment(D, A) → j
  16. Angle(D, A, B) → β
  17. Random(1, 3) → n
  18. Textfield(kans) → InputBox1
  19. Textfield(jans) → InputBox2
  20. Textfield(mans) → InputBox3