Intro to Law of Sines

Learning Target:
I can apply the law of sines to find lengths and angle measures in non-right triangles.

​Let's learn how to set up and solve for a side using the Law of Sines.

Multiple Choice

Which is the correct application of the Law of Sines?

Multiple Choice

True or False?

• True

• False

Multiple Choice

Given a triangle with a = 6, C = 35°, and B = 38°, what is the length of c? Round the answer to two decimal places.

• 3.6

• 6.44

• 5.59

• 9.32

Multiple Choice

Given a triangle with a = 8, C = 33°, and B = 44°, what is the length of c? Round the answer to two decimal places.

• 11.22

• 4.47

• 10.2

• 6.27

Multiple Choice

Find AB

• 10
• 8
• 6.1
• 4.9

Multiple Choice

Identify the Law of Sines

• $$\sin^2x+\cos^2x=1$$

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

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

• Soh Cah Toa

Multiple Choice

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

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

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

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

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

Multiple Choice

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

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

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

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

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