Law of Sines and Cosines

Find the length of side AB. m<C = 53 degrees. m<B = 44 degrees. AC = 7.

(Law of sines)

• 8.0

• 8.8

• 9.2

• 10.3

Which Law would you use to find side length BC?

• Law of Sines

• Law of Cosines

• Law of the Jungle

• SOHCAHTOA

What is the measure of angle A? BC = 37 cm, AB = 29 cm and m<C = 50 degrees.

(Law of Sines)

• 70.7 degrees

• 74.5 degrees

• 77.8 degrees

• 80.2 degrees

Which of the following formulas shows the Law of Cosines?

• c² = a² + b² - 4ac + cosA
• c² = a² - b² - 2abcosC
• c² = a² + b² - 2abcosC
• (cos A)/a = (cos B)/b

Which Law would you use to solve for side AC?

• Law of Sines

• Law of Cosines

• Newton's Laws

• SOHCAHTOA

Identify the Law of Sines

• Sin²x + Cos²x =1
• Sin(A)/a = Sin(B)/b = Sin(C)/c
• Sin(A)Sin(B)Sin(C) = 1
• Soh-Cah-Toa

What is the length of side x? x is opposite a 28 degree angle. 14 cm is the side length given.

(Trig?)

• 6.57 cm

• 7.05 cm

• 7.44 cm

• 8.33 cm

Use Law of Cosines to find measure of side SR?

• 14.4

• 108.2

• 18.9

• 54.4

Find m<B to the nearest whole number.

• A

• B

• C

• D

Use the Law of Cosines to find the value of x.  

(Finding the angle)

• 41.7
• 51.7
• 61.7
• 71.7