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
29 21
123°
B
30 A
41°
C 13 A
3) Find BC 4) Find BC
A C
9
17 91° 28 17°
A B
14
C B
5) Find AB 6) Find AB
B A
13
134° 20
A
12 C
95°
C 22 B
7) Find m∠A 8) Find m∠B
A A
9 6 22 17
143°
C B B C
14
9) Find m∠A 10) Find m∠C
C C
52°
29 28 29
101°
B A B 24 A
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11) Find m∠A 12) Find m∠A
C A
17 139° 13
10
B
20 C
B 11 A
Solve each triangle. Round your answers to the nearest tenth.
13) 14)
A 25 cm B
A
97°
16 cm
27 ft
105° C
C 22 ft B
15) 16)
A C
10.4 cm 18 cm
B 21.9 cm
A
30 in
88°
C 17 in B
17) 18)
B A
7 mi 91° 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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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
29 21
21 123°
B
30 A
41°
C 13 A
3) Find BC 4) Find BC
A C
9 6
17 91° 28 17°
A B
14
C 33
B
5) Find AB 6) Find AB
B A
23
13 31
134° 20
A
12 C
95°
C 22 B
7) Find m∠A 8) Find m∠B
A A
9 6 22 17
137° 16° 143°
C B B C
14
9) Find m∠A 10) Find m∠C
C C
52° 35°
29 28 29
66° 101°
B A B 24 A
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11) Find m∠A 12) Find m∠A
C A
25°
17 139° 13
10
B
20 C
34°
B 11 A
Solve each triangle. Round your answers to the nearest tenth.
13) 14)
A 25 cm B
A
30.5° 97°
33° 39 ft 16 cm
27 ft 52.5°
31.3 cm
105° 42° C
C 22 ft B
15) 16)
A C
10.4 cm 18 cm
97.3°
30° 54.6° 28.1°
34 in B 21.9 cm
A
30 in
62° 88°
C 17 in B
17) 18)
B A
7 mi 91° 12 mi
29.3 mi 55.2° 29 mi
59° 30°
A 14 mi
C
61.8° 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
m∠A = 137°, m∠B = 26°, m∠C = 17° m∠Y = 15.5°, m∠Z = 26.5°, x = 37.5 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
m∠Q = 17°, m∠R = 26°, m∠P = 137° m∠Q = 31°, m∠R = 27°, m∠P = 122°
23) In ∆DEF, e = 16 yd, d = 12 yd, f = 17 yd 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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