Law of Cosine and Sine

Find the area

• 26.5 in²

• 28.8 in²

• 12.5 in²

• 25.1 in²

Given ∠C = 63°, AB = 28°, and AC = 29°, how many triangles can be made?

• 0

• 1

• 2

• 3

Given ∠C = 36°, AB = 31°, and BC = 24°, how many triangles can be made?

• 0

• 1

• 2

• 3

Three boats are out at sea: Boat A, Boat B, and Boat C. The crew of Boat A can see both Boat B and Boat C. The angle between the line of sight to Boat B and the line of sight to Boat C is 49°. If the distance between Boat A and Boat B is 1.8 miles and the distance between boat A and Boat C is 3.2 miles, what is the distance between Boat B and Boat C?

• 2.4 miles

• 5.3 miles

• 1.3 miles

• 3.7 miles

• A

• B

• C

• D

Solve using the Law of Cosines (round to nearest tenth)

• 39.9

• 38

• 37

• 42

Solve using the Law of Cosines

• 21

• 38

• 27

• 40

find X

• 52

• 33

• 41

• 29

What are the possible criteria for the Law of Cosines?

• SSA, SSS

• SSA, ASA

• SSS, SAS

• AAS, ASA

Find the Area of the Triangle

• 13.2

• 11.5

• 17.3

• Not Here