Introduction to the Law of Cosines Lesson Slides: 7 Slides

7 Slides • 9 Questions

1

Multiple Choice

Which of the following is the law of sines?

1

a² + b² = c²

2

$\sin x=\sin x\frac{1}{\sin x}$

3

$\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}$

4

$\tan A=\frac{\sin A}{\cos A}$

2

Multiple Choice

Which of the following given of triangle cannot be solved by law of sines?

I. One side and two angles are given.

II. Two sides and an angle opposite one of the sides given.

III. Two sides and an included angle are given.

IV. Three sides are given.

1

I and II only

2

II and III only

3

III and IV only

4

I, II and III only

3

Multiple Choice

What is the measure of angle A?

1

87°47′

2

77° 47′

3

68°12′

4

59° 47′

4

Law of Cosines

By Richard Mariano

5

There are four possible cases of problems involving the solution of oblique triangles.

They are as follows:

Case 1: One side and two angles are given.

Case 2: Two sides and an angle opposite one of the sides are given.

Case 3: Two sides and an included angle are given.

Case 4: Three sides are given.

6

7

Law of Cosines

8

Law of Cosines

9

Law of Cosines

Example 1. Finding Distance with the Law of Cosines

10

Law of Cosines

Example 2. Finding a Missing Angle with the Law of Cosines

11

Multiple Select

1

a

2

b

3

c

4

d

5

e

12

Multiple Choice

1

A

2

B

3

C

4

D

13

Multiple Choice

1

A

2

B

3

C

4

D

14

Multiple Choice

1

A

2

B

3

C

4

D

15

Multiple Choice

1

A

2

B

3

C

4

D

16

Multiple Choice

A triangle has the lengths of its sides 32, 36, and 45 . What is the measure of the

angle opposite the side whose length is 32?

1

$35.48\degree$

2

$44.85\degree$

3

$52.51\degree$

4

$82.64\degree$

Which of the following is the law of sines?

1

a² + b² = c²

2

$\sin x=\sin x\frac{1}{\sin x}$

3

$\frac{a}{\sin A}=\frac{b}{\sin B}=\frac{c}{\sin C}$

4

$\tan A=\frac{\sin A}{\cos A}$

Show answer

Auto Play

Slide 1 / 16

MULTIPLE CHOICE

Similar Resources on Wayground

14 questions

Distributions of Data

Presentation

•

9th Grade

14 questions

Exponential Growth and Decay Vocabulary

Presentation

•

9th Grade

10 questions

The Discriminant

Presentation

•

9th Grade

10 questions

Parallel and perpendicular slope

Presentation

•

9th Grade

12 questions

Completing the Square (Full process)

Presentation

•

9th Grade

13 questions

Correlation

Presentation

•

9th Grade

13 questions

Writing linear equations review

Presentation

•

9th Grade

14 questions

Systems of Linear Equations

Presentation

•

9th Grade

Popular Resources on Wayground

10 questions

Safety Day 2026 – Student Review

Quiz

•

9th Grade

21 questions

Continents and Oceans

Quiz

•

6th Grade

20 questions

Parts of Speech

Quiz

•

5th Grade

16 questions

Subject & Predicate

Quiz

•

5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

12 questions

Map Skills

Quiz

•

3rd Grade

22 questions

Continents and Oceans

Quiz

•

5th Grade

15 questions

Rounding Decimals

Quiz

•

5th Grade

Discover more resources for Mathematics

12 questions

Absolute Value Equations

Quiz

•

9th Grade

20 questions

Function or Not a Function

Quiz

•

8th - 9th Grade

11 questions

Slope from 2 points

Quiz

•

8th - 9th Grade

10 questions

Exploring the Basics of Exponents

Interactive video

•

6th - 10th Grade

10 questions

Solving Absolute Value Equations

Quiz

•

9th Grade

18 questions

SB 12.2 Write in point slope form

Quiz

•

9th Grade

12 questions

Identify Rigid Transformations

Quiz

•

8th - 12th Grade

10 questions

Complementary, Supplementary, Vertical, and Linear Pairs

Quiz

•

9th - 12th Grade