The Law of Sines

The Law of Sines

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

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The video tutorial explains the law of sines, a trigonometric principle used to solve oblique triangles, which do not have a right angle. It covers different triangle scenarios, such as side-angle-angle, angle-side-angle, and side-side-angle, demonstrating how to find unknown sides and angles. The tutorial also addresses potential issues with side-side-angle cases, like non-existent triangles or multiple solutions. Finally, it introduces a formula for calculating the area of an oblique triangle using the sine of an angle between two sides.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the law of sines and how is it applied to oblique triangles?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Describe the process of using the law of sines with a side-angle-angle triangle.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to find the third angle in a triangle when two angles are known.

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What challenges might arise when using the law of sines with SSA triangles?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

How can the area of an oblique triangle be calculated if the height is unknown?

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