Law of Sines and Law of Cosines



Law of Sines

Case 1 – 2 sides and 1 angle known, trying to find angle opposite known side

Case 2 – 1 side and 2 angles known, trying to find side opposite known angle

Law of Cosines

Case 1 – 2 sides of triangle and included angle known, third side unknown

Case 2 – 3 sides of triangle known, angle unknown

Law of Sines and Law of Cosines Practice. Find the value of x.

-----------------------

a

b

c

C

B

A

123

112˚

29˚

118˚

x˚

17

x˚

11

115˚

x

49

16

A

B

C

c

b

a

x

x˚

27

66˚

20

13

16

32

25

x

115˚

52

x˚

12

20

14

114˚

x

17

28

37

32

24

x˚

x˚

35

9؀ࠌࠎࠏࠐࠔࠗࠛࠞࠣࠩ࡯ࡰࡲࡷࡽࢃ࣒࣓࣊࣋࣌࣍࣡࣢ࣣ࣮ࣨल7˚

28

35˚

9.4

23˚

x

1.)

2.)

3.)

4.)

5.)

6.)

7.)

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