Name___________________________________ Date________________ Period____

The Law of Sines

1) Find AC

A

118° 24 22° 7 53°

Find each measurement indicated. Round your answers to the nearest tenth. 2) Find AB A

C

B C

44°

B

3) Find BC

C B

51°

4) Find AB

C

63° 9 101°

A

27 39°

B

A

5) Find BC

C

58° 16 93°

6) Find m∠C

A

16.1 88° 21

A

B

C

26

B

7) Find m∠C

A

82° 20

8) Find m∠C

A

24 103° 6

24

C

26

B

C

29

B

9) Find m∠A

A

10) Find m∠C

A

9 97° 19

33 25

C

22

B

C

129° 11 B

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Worksheet by Kuta Software LLC

Solve each triangle. Round your answers to the nearest tenth. 11) m∠A = 70°, c = 26, a = 25 12) m∠B = 45°, a = 28, b = 27

13) m∠C = 145°, b = 7, c = 33

14) m∠B = 73°, a = 7, b = 5

15) m∠B = 117°, a = 16, b = 38

16) m∠B = 84°, a = 18, b = 9

17) m∠B = 105°, b = 23, a = 14

18) m∠C = 13°, m∠A = 22°, c = 9

State the number of possible triangles that can be formed using the given measurements. 19) m∠C = 63°, b = 9, c = 12 20) m∠B = 33°, a = 27, b = 22

21) m∠B = 29°, a = 14, b = 19

22) m∠B = 95°, b = 24, a = 5

23) m∠A = 29°, c = 18, a = 17 Find the area of each triangle to the nearest tenth. 25) F

24) m∠B = 35°, a = 24, b = 6

26)

R

11 cm 99°

28° 7.6 km 6.7 km

E

11 cm

D Q P

27)

H

7 mi

28)

12 mi 36° 4 mi

Y

K

P X

50° 5 mi

Z

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-2-

Worksheet by Kuta Software LLC

Kuta Software - Infinite Algebra 2

Name___________________________________ Date________________ Period____

The Law of Sines

1) Find AC

A

14 118° 24 22° 7 53°

Find each measurement indicated. Round your answers to the nearest tenth. 2) Find AB A

8 44°

C

B C

B

3) Find BC

C

17 51°

4) Find AB

B A C

63° 9 101° 29.1

B

27 39°

A

5) Find BC

C

58° 16 93° 33

6) Find m∠C

A

16.1 53.8° 88° 21

A

B

C

26

B

7) Find m∠C

A

82° 20

8) Find m∠C

A

24 13° 26 103° 6

24 43.1°

C

B

C

29

B

9) Find m∠A

A

10) Find m∠C

A

9 97° 59° 19

33 15° 25

C

22

B

C

129° 11 B

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Worksheet by Kuta Software LLC

Solve each triangle. Round your answers to the nearest tenth. 11) m∠A = 70°, c = 26, a = 25 m∠B = 32.2°, m∠C = 77.8°, b = 14.2 Or m∠B = 7.8°, m∠C = 102.2°, b = 3.6 13) m∠C = 145°, b = 7, c = 33 m∠A = 28°, m∠B = 7°, a = 27 15) m∠B = 117°, a = 16, b = 38 m∠C = 41°, m∠A = 22°, c = 28 17) m∠B = 105°, b = 23, a = 14 m∠C = 39°, m∠A = 36°, c = 15 12) m∠B = 45°, a = 28, b = 27 m∠C = 87.8°, m∠A = 47.2°, c = 38.2 Or m∠C = 2.2°, m∠A = 132.8°, c = 1.5 14) m∠B = 73°, a = 7, b = 5 Not a triangle 16) m∠B = 84°, a = 18, b = 9 Not a triangle 18) m∠C = 13°, m∠A = 22°, c = 9 m∠B = 145°, a = 15, b = 22.9

State the number of possible triangles that can be formed using the given measurements. 19) m∠C = 63°, b = 9, c = 12 One triangle 21) m∠B = 29°, a = 14, b = 19 One triangle 23) m∠A = 29°, c = 18, a = 17 Two triangles Find the area of each triangle to the nearest tenth. 25) F

20) m∠B = 33°, a = 27, b = 22 Two triangles 22) m∠B = 95°, b = 24, a = 5 One triangle 24) m∠B = 35°, a = 24, b = 6 None

26)

R

11 cm 99°

28° 7.6 km 6.7 km

E

11 cm

D Q P

59.8 cm²

12 km² 27)

H

7 mi 12 mi 36° 4 mi

28)

Y

K

P X

50° 5 mi

8.2 mi²

Z

23 mi²

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