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Similar Triangles in a Right Triangle by James Goldberg

Similar Triangles in a Right Triangle by James Goldberg
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2019-04-02 22:30
TriangleGeometric Construction
This example demonstrates similar triangles within a right triangle. The key mathematical concepts involved are the properties of similar triangles. Using GeoGebra commands such as Intersect, Point, and Polygon, similar triangles within a right triangle can be constructed. Suitable for students at the junior high school level and above to learn about similar triangles.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → B
  3. Point(yAxis) → C
  4. Polygon(A, B, C) → t1, c, a, b
  5. OrthogonalLine(A, a) → f
  6. Intersect(f, a) → D
  7. Polygon(A, D, C) → t2, c_1, a_1, d
  8. Polygon(A, B, D) → t3, d_1, a_2, b_1
  9. InteriorAngles(t2) → α, β, γ
  10. InteriorAngles(t3) → δ, ε, ζ