One Two or No Triangle?

One Two or No Triangle?

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explores the properties of triangles, focusing on angles and side lengths. It explains how to determine the height of a triangle using trigonometry, specifically the sine function. The tutorial discusses conditions under which a triangle can exist based on its side lengths and height. It also examines the possibility of multiple triangles existing when rotating a triangle, concluding that only one triangle can exist under certain conditions.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the relationship between the angle and the side lengths in a triangle?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How can you determine the height of a triangle using trigonometry?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain why a triangle cannot exist if one side is shorter than the height.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What conditions must be met for two triangles to exist in the given scenario?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Why is it concluded that only one triangle exists in the discussed case?

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