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Biblioteka

Geometry 8-5a GeoGebra Primer: The Law of Sines

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Posljednje ažuriranje about 4 years ago
9

Familiarize yourself with the embedded GeoGebra applet before completing the items that follow.

Be sure to drag the vertices around and try the tool on a variety of triangles.

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Pitanje 1
1.

Vocabulary: What is found in the top-left corner of the applet?

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Pitanje 2
2.

Exploration: How are the numerators and denominators related to one another in these ratios? Hint: Consider the triangle.

Pitanje 3
3.

Exploration: Classify each of the elements from the applet.

  • a

  • b

  • c

  • CAB

  • ABC

  • BCA

  • Sin(CAB)

  • Sin(ABC)

  • Sin(BCA)

  • Trigonometric ratio

  • Side length

  • Angle

Pitanje 4
4.

Exploration: The applet's slider has 4 positions. What happens when the slider is moved from its starting position to position 2 (one spot to the right)?

Pitanje 5
5.

Exploration: What happens when the slider is moved from position 2 to position 3?

Pitanje 6
6.

Exploration: What happens when the slider is moved from position 3 to position 4?

Pitanje 7
7.

Extension: Make a conjecture based on what you observed in this applet about the relationship between angles of a triangle and the side lengths opposite from them.

Pitanje 8
8.

Review: To what type(s) of triangles do the properties of SOH-CAH-TOA apply? Select all that apply.

Pitanje 9
9.

Extension: To what type(s) of triangles do the properites of this exploration apply? Select all that apply.