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
©g G2u0P1G25 GKCuCtMaH aSkoNfXtGwka4r3eM KLULeCn.Y w NAWlhlF TrOiAgChntWsD zrkeNs7ePrFv1eDdW.B A dMTaydxek YwfiFtShO uI7nOfOi3nGiRtJe9 DAZlFgAegbOrGar H2v.B
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
©t B2V04122S IKLu5toaL tSmoXf5tgw5aArneg LL1LoCy.1 p RA0lalZ NrYi4gMhAtRsO mr0eCsneRrNvZe8dN.C 8 gMeaAdYet Ywoigtghu zI3nIfRiFn3iZtvet AAzlEgbeIbcrjaR m2k.H
-2-
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
©O o2p0M152L kK3uWtBaW dSmoDfettwcaKrheL XL8LGCG.C y KAsluld KrYirgMhltos4 3r6e2skeerIviekdF.8 e UMcaxdleC wwQi5tBhs 8ItnjfgiqnBiatner DAUlngkeobhr9aJ R2D.D
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
Create your own worksheets like this one with Infinite Algebra 2. Free trial available at KutaSoftware.com
©7 J2a0o1T2B DKiutt9aL 2S2oXfztLwEaKr5e6 wL4L9Cl.R i oAalGlu Hr4iBgIhctHsq irQe6sKeXravQeadY.K x xMNaDdfev awUi9tLhC FIUnffJitnaiPtIeI LAhlDgbeabGraag 82H.x
-2-
Worksheet by Kuta Software LLC