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Exercise 6: Orthocenter of a Triangle

Exercise 6: Orthocenter of a Triangle
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2017-07-19 04:14
TriangleDerivativeGeometric Construction
This example demonstrates the orthocenter of a triangle, which is the point where the three altitudes of a triangle intersect. Using GeoGebra commands such as Random, RandomElement, Textfield, TableText, and Polygon, the example dynamically shows the properties of the orthocenter. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Random(-10, 10) → d_2
  2. Random(-10, 10) → b
  3. Random(-10, 10) → a
  4. RandomElement({-5, -4, -3, -2, -1, 1, 2, 3, 4, 5}) → c
  5. RandomElement({-5, -4, -3, -2, -1, 1, 2, 3, 4, 5}) → a_1
  6. Textfield(h) → InputBox1
  7. Random(-10, 10) → b_1
  8. RandomElement({-5, -4, -3, -2, -1, 1, 2, 3, 4, 5}) → c_1
  9. Random(-10, 10) → d_1
  10. Textfield(m) → InputBox2
  11. Textfield(f) → InputBox4
  12. TableText({{A1_1, B_1, C_1, D_1}, {-3, g(-3), h(-3), f(-3)}, {-2, g(-2), h(-2), f(-2)}, {-1, g(-1), h(-1), f(-1)}, {0, g(0), h(0), f(0)}, {1, g(1), h(1), f(1)}, {2, g(2), h(2), f(2)}, {3, g(3), h(3), f(3)}, {m, e, l, k}}, "|_r") → text3_1
  13. Polygon(C, D, E, F) → poly1, c_1, d, e_1, f_1