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Solving Right Triangles

Solving Right Triangles
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2016-07-19 02:50
TriangleTrigonometryGeometric Construction
This example demonstrates the calculation and visualization of side lengths and angles in right triangles. It involves core mathematical concepts such as the Pythagorean theorem, trigonometric functions (sin, cos, tan), and angle measurement. The construction uses GeoGebra commands and objects like Textfield, Polygon, Angle, SurdText, and Midpoint. Suitable for high school mathematics teaching and geometric construction practice.

GeoGebra Commands & Parameters

  1. Textfield(a) → InputBox1
  2. Textfield(b) → InputBox2
  3. Polygon(A, B, C) → poly1, c, a_1, b_1
  4. Angle(poly1) → α, β, γ
  5. SurdText(a_1) → sidea
  6. SurdText(b_1) → sideb
  7. SurdText(c) → sidec
  8. Midpoint(c) → D
  9. Midpoint(a_1) → E
  10. Midpoint(b_1) → F
  11. SurdText(s) → sinA
  12. SurdText(co) → cosA
  13. SurdText(t) → tanA