Law of Sines

​6.1 Law of Sines

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Multiple Choice

Identify the Law of Sines. #1

• $$\sin^2x+\cos^2x=1$$

• $$\frac{\sin\left(A\right)}{a}=\frac{\sin\left(B\right)}{b}=\frac{\sin\left(C\right)}{c}$$

• $$\sin\left(A\right)\sin\left(B\right)\sin\left(C\right)=1$$

• Soh Cah Toa

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Multiple Choice

Use the Law of Sines to solve for BC. #2

• 33

• 24

• 12

• 29

Multiple Choice

Calculate the length of AC. #4

• 30

• 24

• 27

• 35

Multiple Choice

Find the length of BC. #7

• A

• B

• C

• D

Multiple Choice

What are the possible criteria for Law of Sines? #14

• SSA, ASA, AAS

• AAS, SSS, ASA

• SAS, SSS, ASA

• SAS, AAS, ASA

Multiple Choice

Which equation shows how you would use the law of sines to find side c? #8

• $$\frac{\sin41}{19}=\frac{\sin\ 75}{c}$$

• $$\frac{\sin\ 64}{19}=\frac{\sin\ 75}{c}$$

• $$\frac{\sin\ 19}{64}=\frac{\sin\ c}{75}$$

• $$\frac{\sin19}{41}=\frac{\sin\ c}{75}$$

Multiple Choice

Find AB. #3

• 10

• 8

• 6.1

• 4.9

Multiple Choice

What is the measure of angle A? #10

• 50 degrees

• 60 degrees

• 78 degrees

• 74 degrees

Multiple Choice

Which equation shows how you would use the law of sines to find angle A? #11

• $$\frac{\sin44}{26}=\frac{\sin\ A}{23}$$

• $$\frac{\sin\ 26}{44}=\frac{\sin\ 23}{A}$$

• $$\frac{\sin\ 44}{23}=\frac{\sin\ A}{26}$$

• $$\frac{\sin23}{44}=\frac{\sin\ 26}{A}$$

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Multiple Choice

Find Area of triangle ABC. #34

• 223.6 units²

• 73.1 units²

• 52.7 units²

• 3.3 units²

Multiple Choice

What is the area of a triangle with two sides that measure 6 m and 8 m with an included angle of 137°? #35

• 17.8m²

• 14.6m²

• 16.4m²

• 12.9m²

Multiple Choice

Find the area to the nearest tenth. #36

• A

• B

• C

• D