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Right Triangle Side Ratios

Right Triangle Side Ratios
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2018-02-06 11:48
TriangleTrigonometryGeometric Construction
This example demonstrates constructing the side ratios of a right triangle using rotation and angles. Key math concepts include trigonometry and geometric construction. Commands used include Segment, Rotate, Angle, Line, Intersect, and Polygon. Suitable for middle school and above students learning trigonometry and geometric construction.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Rotate(A, (-(90°)), B) → A'
  3. Angle(A', B, A) → α
  4. Rotate(B, 30°, A) → B'
  5. Angle(B, A, B') → β
  6. Line(B', A) → g
  7. Line(B, A') → h
  8. Intersect(g, h) → C
  9. Polygon(B, A, C) → t1, c, b, a

AI Drawing Prompt Reference

Draw a right triangle and construct its side ratios. First, draw line segment AB. Then, rotate point A 90 degrees counterclockwise around point B to get point A'. Next, draw line segment A'B' and rotate point B 30 degrees clockwise around point A to get point B'. Draw line B'A' and B'A, and their intersection is point C. Finally, connect points B, A, and C to form a triangle.
The prompt above was compiled from the original drawing commands and is for reference only.