What is the relationship between the angle and the side lengths in a triangle?
One Two or No Triangle?
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Mathematics
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11th Grade - University
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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
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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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