SSA Triangle Demonstration

SSA Triangle Demonstration
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2017-10-28 03:33
This example demonstrates the two possible triangles or no solution that can arise when given two side lengths and the angle opposite one of those sides. It involves core mathematical concepts such as triangle congruence (SSA), trigonometric functions, and the relationship between angles and side lengths. The construction uses commands/objects like Segment, Rotate, Angle, Circle, Point, and Ray in GeoGebra. It is suitable for high school students learning geometry and trigonometry to visually understand the geometric construction and the diversity of solutions under SSA conditions.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. Rotate(B, (-(45°)), A) → B'
  3. Angle(B', A, B) → α
  4. Circle(B', B) → c
  5. Point(c) → C
  6. Segment(C, B') → g
  7. Segment(A, B') → h
  8. Ray(A, B) → i