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Right Angled Triangles Practice

Right Angled Triangles Practice
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2019-05-27 03:12
TriangleTrigonometryGeometric Construction
In collections Right Angled Triangles
This example demonstrates the construction and properties of right-angled triangles, involving core concepts like Pythagorean Theorem, trigonometry, fractions, real numbers, roots, normal distribution, and straight lines. It is constructed using commands such as Polygon, Angle, Midpoint, RandomElement, Textfield, Random, If, Circle, Center, Intersect, and is suitable for high school mathematics learning and practice.

GeoGebra Commands & Parameters

  1. Polygon(A, B, C) → t1, c_1, a_1, b_1
  2. Angle(B, C, A) → α
  3. Angle(A, B, C) → β
  4. Angle(C, A, B) → γ
  5. Midpoint(A, C) → D
  6. Midpoint(C, B) → E
  7. Midpoint(B, A) → F
  8. RandomElement(qn) → q
  9. Textfield(emptys) → InputBox1
  10. Random(15, 165) → a1
  11. Textfield(delta) → InputBox2
  12. If(q ≟ 1, Text[ansq1], If[q ≟ 2, Text[ansq2], If[q ≟ 3, Text[ansq3], If[q ≟ 4, Text[ansq4], If[q ≟ 5, Text[ansq5], If[q ≟ 6, Text[ansq6], If[q ≟ 7, Text[ansq7], If[q ≟ 8, Text[ansq8], If[q ≟ 9, Text[ansq9], If[q ≟ 10, Text[ansq10], Text[ansq11]]]]]]]]]]) → answertext
  13. Circle(B, .4) → p
  14. Center(p) → T
  15. Intersect(p, a_1, 1) → U
  16. Intersect(p, c_1, 1) → V
  17. Midpoint(U, V) → W
  18. Circle(A, 0.4) → s
  19. Intersect(s, c_1, 1) → Z
  20. Intersect(s, b_1, 1) → A_1
  21. Midpoint(Z, A_1) → B_1

AI Drawing Prompt Reference

Draw a right-angled triangle ABC with angle B as the right angle. Use the Polygon command to create the triangle and then measure the degrees of angles A, C, and B. Find the midpoints D, E, and F of sides AC, BC, and AB, respectively. Randomly select a point Q on side AB and generate some text prompts based on the position of Q. Draw a circle with center B and radius 0.4 on side AB, and find the intersection points U and V with sides AC and BC, respectively, and then find the midpoint W of U and V. Draw a circle with center A and radius 0.4 on side BC, and find the intersection points Z and A1 with sides AC and AB, respectively, and then find the midpoint B1 of Z and A1.
The prompt above was compiled from the original drawing commands and is for reference only.