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Triangle Angle Sum Example

Triangle Angle Sum Example
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2015-11-11 05:07
TriangleAngleGeometric Construction
In collections CCSS Support Math I Unit 5
This example demonstrates how to calculate the unknown interior angle of a triangle using GeoGebra. It involves core math concepts like the triangle angle sum theorem. Construction highlights include LaTeX for text display, CircleSector for angle sectors, and interactive selection via SelectedElement and SelectedIndex. Suitable for middle school mathematics education to understand and apply the triangle angle sum theorem.

GeoGebra Commands & Parameters

  1. LaTeX("\text{Determine the total measure of the two known angles.}") → text2
  2. LaTeX("\text{Use the result to determine the measure of the third angle.}") → text6
  3. LaTeX("\text{The sum of the measures is \textcolor{#000099}{180°}.}") → text12
  4. CircleSector(C_1, D_1, E_1) → c
  5. CircleSector(C_1, G_1, H_1) → d
  6. SelectedElement(A) → a1
  7. SelectedElement(B) → b1
  8. SelectedIndex(A) → A1
  9. SelectedIndex(B) → B1
  10. LaTeX((((("\text{A triangle has two angles that measure \textcolor{#000099}{" * a1) * "} and \textcolor{#000099}{") * b1) * "}. What is the measure of the third angle?}")) → text1
  11. LaTeX((((("\text{The two known angle measures of the triangle are \textcolor{#000099}{" * a1) * "} and \textcolor{#000099}{") * b1) * "}. To find the total, add the known measures.}")) → text3
  12. LaTeX((((((("\text{\textcolor{#000099}{" * a1) * " + ") * b1) * " = ") * ab) * "}}")) → text4
  13. LaTeX((("\text{Subtract \textcolor{#000099}{" * ab) * "} from both sides of the equation.}")) → text14
  14. LaTeX((("\text{ \textcolor{#000099}{" * ab) * " + x = 180°}}")) → text11
  15. LaTeX((("\text{ \textcolor{#000099}{x =" * sol) * "}}")) → text13
  16. LaTeX("\text{Let \textcolor{#000099}{x} represent the unknown measure of the third angle.}") → text8
  17. LaTeX("\text{\mathbf{Congruent\; angles} two angles that have the same measure.}") → text17
  18. LaTeX("\text{A}") → text19
  19. LaTeX("\text{B}") → text19_1
  20. LaTeX("\text{then solve for \textcolor{#000099}{x}.}") → text10
  21. LaTeX("\text{\mathbf{Congruent\;triangles} triangles having the same angle measures and side lengths.}") → text17_4
  22. LaTeX("\text{Select the angles: }") → text18
  23. LaTeX((("\text{The total measure of the two known angles is \textcolor{#000099}{" * ab) * "}.}")) → text5
  24. LaTeX("\text{The sum of the measures of the angles is \textcolor{#000099}{180°}. Write and solve an equation to find the third angle.}") → text7
  25. LaTeX((("\text{The third angle measures \textcolor{#000099}{" * sol) * "}.}")) → text15
  26. LaTeX((("\text{There are different ways to set up the equation. For example, we can add \textcolor{#000099}{" * ab) * "} and \textcolor{#000099}{x} and set them equal to \textcolor{#000099}{180°},}")) → text9