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