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Explore Similar Right Triangles by Samantha Garcia

Explore Similar Right Triangles by Samantha Garcia
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2017-12-30 13:14
TriangleTrigonometryGeometric Construction
This example demonstrates the properties of similar right triangles. Key mathematical concepts include the properties of similar triangles, the definition of right triangles, and trigonometric functions. Using GeoGebra commands such as If, Point, Segment, Circle, Intersect, and Polygon, similar right triangles can be constructed and their similarities observed. Suitable for students at the junior high school level and above.

GeoGebra Commands & Parameters

  1. If(side_1 ≟ 3, 4, If[side_1 ≟ 2.5, 6, If[side_1 ≟ 4, 7.5, If[side_1 ≟ 1.75, 6, If[side_1 ≟ 9 / 5, 8, If[side_1 ≟ 12 / 5, 7, If[side_1 ≟ 11 / 5, 12, If[side_1 ≟ 16 / 5, 63 / 5]]]]]]]) → side_2
  2. Point(Circle[A, (side_1 * scale)]) → C
  3. Segment(A, C) → f
  4. Circle(A, (side_3 * scale)) → d
  5. Circle(C, (side_2 * scale)) → c_2
  6. Intersect(c_2, d, 2) → B
  7. Polygon(A, C, B) → poly1, b, a, c
  8. Angle(B, C, A) → α
  9. Angle(C, B, A) → β
  10. Angle(B, A, C) → γ