Geometry - Law Of Cosines
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ID: 1
Geometry
Name___________________________________
Law of Cosines
Date________________ Period____
Solve each triangle. Round your answers to the nearest tenth. 1)
2) B
B
22 cm
19 cm
30 cm
A
A
96° 17 cm
C
17 cm
C
3)
4) 21 in
B
A
29 mi
C
B 101°
13 in 24 mi
29 in
C A
5)
6) C 13 mi
A
11 km
B
16 mi
A 10 km
B
25 mi
17 km
C
7)
8) B
B
29 cm
21 km
C
56° 111° A 23 cm
26 km
C A
9)
10) C
12 m
A
122°
25 m
20 km
98°
17 km
A
B
C
11)
B
12) B
C 6 yd
19 yd
13 yd 114°
A
C
B
-1-
35° 13 yd
A
13)
14) C
C 29.7 yd
91.6° 25 ft
A
21 ft
19 ft
A
B
B
15)
16) C
B 29 km
27 mi
B
68°
A
12.1 yd
21 mi
A
27 km
C
17)
26 km
18) C
24 ft
A
C
84° 12 ft
20.4 cm
B A
86.3° 22 cm
B
19)
20)
B
B
20.8 yd
25 km
C
6.6 yd
C
17 yd
A 26 km
28 km
A
21) a = 27 km, b = 20 km, m∠C = 128°
22) m∠C = 108°, b = 26 yd, a = 29 yd
23) c = 15.2 ft, b = 16.4 ft, a = 18.1 ft
24) m∠B = 83.6°, c = 28.3 m, a = 8.3 m
25) b = 22 mi, c = 19 mi, a = 21 mi
26) m∠B = 97°, c = 25.7 yd, a = 9.6 yd
27) a = 24 yd, m∠B = 38°, c = 13 yd
28) c = 18 cm, a = 17 cm, b = 30 cm
29) c = 22 cm, m∠A = 71°, b = 30 cm
30) m∠C = 84.8°, a = 13.5 ft, b = 15.2 ft
31) b = 15.1 km, c = 24.5 km, a = 16.3 km
32) b = 25 ft, a = 27 ft, c = 28 ft
33) b = 29.7 in, m∠C = 93.9°, a = 20.4 in
34) a = 27.3 m, c = 18.5 m, b = 25.4 m
35) c = 28 m, b = 12 m, a = 18 m
36) a = 17 yd, c = 28 yd, b = 15 yd
37) c = 23 in, b = 29 in, a = 28 in
38) a = 10.2 in, b = 11 in, m∠C = 139.4°
39) a = 17.5 cm, c = 20.8 cm, b = 15.2 cm
40) m∠B = 21.2°, c = 12.4 in, a = 20.6 in
-2-
Geometry
Name___________________________________
Law of Cosines
Date________________ Period____
Solve each triangle. Round your answers to the nearest tenth. 1)
2) B
B
22 cm
19 cm
30 cm
A
A
96° 17 cm
C
17 cm
C
3)
4) 21 in
B
A
29 mi
C
B 101°
13 in 24 mi
29 in
C A
5)
6) C 13 mi
A
11 km
B
16 mi
A 10 km
B
25 mi
17 km
C
7)
8) B
B
29 cm
21 km
C
56° 111° A 23 cm
26 km
C A
9)
10) C
12 m
A
122°
25 m
20 km
98°
17 km
A
B
C
11)
B
12) B
C 6 yd
19 yd
13 yd 114°
A
C
B
-1-
35° 13 yd
A
13)
14) C
C 29.7 yd
91.6° 25 ft
A
21 ft
19 ft
A
B
B
15)
16) C
B 29 km
27 mi
B
68°
A
12.1 yd
21 mi
A
27 km
C
17)
26 km
18) C
24 ft
A
C
84° 12 ft
20.4 cm
B A
86.3° 22 cm
B
19)
20)
B
B
20.8 yd
25 km
C
6.6 yd
C
17 yd
A 26 km
28 km
A
21) a = 27 km, b = 20 km, m∠C = 128°
22) m∠C = 108°, b = 26 yd, a = 29 yd
23) c = 15.2 ft, b = 16.4 ft, a = 18.1 ft
24) m∠B = 83.6°, c = 28.3 m, a = 8.3 m
25) b = 22 mi, c = 19 mi, a = 21 mi
26) m∠B = 97°, c = 25.7 yd, a = 9.6 yd
27) a = 24 yd, m∠B = 38°, c = 13 yd
28) c = 18 cm, a = 17 cm, b = 30 cm
29) c = 22 cm, m∠A = 71°, b = 30 cm
30) m∠C = 84.8°, a = 13.5 ft, b = 15.2 ft
31) b = 15.1 km, c = 24.5 km, a = 16.3 km
32) b = 25 ft, a = 27 ft, c = 28 ft
33) b = 29.7 in, m∠C = 93.9°, a = 20.4 in
34) a = 27.3 m, c = 18.5 m, b = 25.4 m
35) c = 28 m, b = 12 m, a = 18 m
36) a = 17 yd, c = 28 yd, b = 15 yd
37) c = 23 in, b = 29 in, a = 28 in
38) a = 10.2 in, b = 11 in, m∠C = 139.4°
39) a = 17.5 cm, c = 20.8 cm, b = 15.2 cm
40) m∠B = 21.2°, c = 12.4 in, a = 20.6 in
-2-
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