Determine the remaining parts of a triangle using the law of sines

Determine the remaining parts of a triangle using the law of sines

Assessment

Interactive Video

Mathematics, Social Studies

11th Grade - University

Hard

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The video tutorial explains how to solve a triangle problem using the Law of Sines. It begins by identifying the type of triangle and then applies the Law of Sines to find missing side lengths and angles. The tutorial demonstrates calculating side B using given angles and the sine function, followed by finding angle C using the angle sum property. Finally, it calculates side C using known values and the Law of Sines.

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7 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What type of triangle is being solved in the video?

Angle-Side-Angle (ASA)

Side-Angle-Side (SAS)

Angle-Angle-Side (AAS)

Side-Side-Side (SSS)

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which law is used to solve the triangle in the video?

Law of Tangents

Law of Sines

Pythagorean Theorem

Law of Cosines

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in applying the Law of Sines to find side B?

Use the Pythagorean Theorem

Find the length of side C

Set up a proportion using known values

Calculate the sine of angle C

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the decimal approximation of sine 45 degrees used in the video?

0.5

0.866

0.7071

1.0

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the calculated length of side B?

20.0

28.284

38.637

14.142

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is angle C determined in the video?

By measuring directly

Using the Pythagorean Theorem

By subtracting the known angles from 180 degrees

Using the Law of Cosines

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final calculated length of side C?

38.637

28.284

20.0

14.142