How to determine if you have 0,1 or 2 triangles for the ambiguous case

How to determine if you have 0,1 or 2 triangles for the ambiguous case

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial discusses the ambiguous case of side-side-angle in triangles, explaining how it can result in one, two, or no triangles. The teacher uses the law of sines to solve for a missing angle and demonstrates how to identify when no triangle exists due to an error domain. The tutorial also covers conditions under which one or two triangles can exist, emphasizing the importance of understanding these concepts in trigonometry and geometry.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the ambiguous case in triangle formation?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how the law of sines is used to find a missing angle in a triangle.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What does it mean when the sine inverse of an answer results in an error domain?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the conditions under which no triangle can exist.

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

How can you determine if two triangles exist based on the angles and sides?

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