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Mr Bradbury's Trig Triangle

Mr Bradbury's Trig Triangle
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2016-04-27 20:30
AngleTrigonometryGeometric Construction
This is a right-angled triangle demonstrating the hypotenuse, adjacent, and opposite lengths. The reference angle can be adjusted in 1° increments. Constructed using GeoGebra commands such as Point, Segment, OrthogonalLine, etc. Suitable for middle school and above students to learn trigonometry.

GeoGebra Commands & Parameters

  1. Point(Circle[A, length]) → B
  2. Segment(A, B) → a
  3. OrthogonalLine(B, a) → b
  4. Rotate(B, referenceangle, A) → B'
  5. Angle(B, A, B') → α
  6. Line(A, B') → c
  7. Intersect(b, c) → C
  8. Segment(C, A) → d
  9. Segment(A, B) → e
  10. Segment(B, C) → f
  11. Angle(C, B, A) → β

AI Drawing Prompt Reference

Draw a right-angled triangle with the hypotenuse, adjacent, and opposite sides. Adjust the reference angle to change the angle of the triangle. Start by drawing a circle and taking a point on it as the right angle vertex, then draw a segment from the center to this point as one of the legs. Construct a perpendicular line to this segment, rotate the point to form a new point, connect the new and old points to form the reference angle, then draw a segment from the center to the new point as the hypotenuse, and finally draw a segment from the center to the right angle vertex as the adjacent side.
The prompt above was compiled from the original drawing commands and is for reference only.