How to determine 1 2 or no triangles using the height

How to determine 1 2 or no triangles using the height

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to construct a triangle, emphasizing flexibility in positioning points. It discusses the ambiguous case of angle-side-side and how to determine if one, two, or no triangles exist by calculating the height using the law of sines. The tutorial concludes by confirming the existence of a right triangle based on the calculated height.

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2 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the calculated height of the triangle when using the sine of 30 degrees?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Discuss the implications of having one triangle versus no triangles in this scenario.

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