Law of Cosines - Kuta Software

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Worksheet by Kuta Software LLC. Kuta Software - Infinite Algebra 2 ... The Law of Cosines. Find each measurement indicated. Round your answers to the ...
Kuta Software - Infinite Algebra 2

Name___________________________________

The Law of Cosines

Date________________ Period____

Find each measurement indicated. Round your answers to the nearest tenth. 1) Find AB

2) Find BC B

C 21

29 123°

B 41° 13

C

A

3) Find BC

4) Find BC

A 17

A

30

91°

28

C

9 17°

A

B

14

B

C

5) Find AB

6) Find AB B

A

13

20

134°

A

12

C 95°

C

7) Find m∠A

8) Find m∠B A

9

17

143°

B

14

A

22

6

C

B

22

9) Find m∠A

B

C

10) Find m∠C

C

C

52° 29

28

29 101°

B

A

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B

-1-

24

A

Worksheet by Kuta Software LLC

11) Find m∠A

12) Find m∠A

C

A 17

B

13

139°

B

10

20

C

A

11

Solve each triangle. Round your answers to the nearest tenth. 13)

14)

A

25 cm

A

B 97° 16 cm

27 ft

C

105° 22 ft

C

B

15)

16) A

C 18 cm

10.4 cm

B

30 in

A

21.9 cm

88°

C

17 in

B

17)

18) B

7 mi

91°

A 12 mi 29 mi

A

C 63°

C

27 mi

B

19) In ∆ABC, a = 14 cm, b = 9 cm, c = 6 cm

20) In ∆XYZ, m∠X = 138°, y = 15 in, z = 25 in

21) In ∆QRP, q = 12 in, p = 28 in, r = 18 in

22) In ∆QRP, p = 28 km, q = 17 km, r = 15 km

23) In ∆DEF, e = 16 yd, d = 12 yd, f = 17 yd

24) In ∆RPQ, p = 18 mi, m∠R = 17°, q = 28 mi

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Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 2

Name___________________________________

The Law of Cosines

Date________________ Period____

Find each measurement indicated. Round your answers to the nearest tenth. 1) Find AB

2) Find BC B

C 45 21

29 21 41° 13

C

123°

B

A

3) Find BC

4) Find BC

A 17

A

30

91°

C

28

C

9 17°

A

6

B

14

B

33

5) Find AB

6) Find AB B

A

23 31

13

20

134°

A

12

C 95°

C

7) Find m∠A

8) Find m∠B A

9

A

22 16° 143°

6 137°

C

B

14

9) Find m∠A

B

C

C

52°

35° 28

29 101°

66°

B

17

10) Find m∠C

C

29

B

22

A

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B

-1-

24

A

Worksheet by Kuta Software LLC

11) Find m∠A

12) Find m∠A

C

A 17

10 34°

B

25° 13 139°

B

20

C

A

11

Solve each triangle. Round your answers to the nearest tenth. 13)

14)

A

25 cm 30.5°

A 39 ft

33°

16 cm

27 ft

31.3 cm 105° 42° 22 ft

C

52.5°

C

B

15)

16) A

C 10.4 cm

30° 34 in

C

B 97°

97.3°

54.6°

B

30 in

18 cm

28.1° 21.9 cm

A

88° 62° B 17 in

17)

18) B 91°

7 mi

A 12 mi 29.3 mi 55.2° 29 mi

59°

A

30° 14 mi

C C

19) In ∆ABC, a = 14 cm, b = 9 cm, c = 6 cm

20) In ∆XYZ, m∠X = 138°, y = 15 in, z = 25 in

m∠A = 137°, m∠B = 26°, m∠C = 17° 21) In ∆QRP, q = 12 in, p = 28 in, r = 18 in

m∠Y = 15.5°, m∠Z = 26.5°, x = 37.5 in 22) In ∆QRP, p = 28 km, q = 17 km, r = 15 km

m∠Q = 17°, m∠R = 26°, m∠P = 137° 23) In ∆DEF, e = 16 yd, d = 12 yd, f = 17 yd

63° 61.8° B 27 mi

m∠Q = 31°, m∠R = 27°, m∠P = 122° 24) In ∆RPQ, p = 18 mi, m∠R = 17°, q = 28 mi

m∠D = 42.5°, m∠E = 64.3°, m∠F = 73.2°

m∠P = 26°, m∠Q = 137°, r = 12 mi

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Worksheet by Kuta Software LLC