Kuta Software - Infinite Algebra 2
Name___________________________________
The Law of Sines
Date________________ Period____
Find each measurement indicated. Round your answers to the nearest tenth.
1) Find AC
2) Find AB
A
A
24
118°
22°
C
7
B
53°
44°
B
C
3) Find BC
C
4) Find AB
C
B
51°
63°
9
101°
A
B
27
39°
A
5) Find BC
6) Find m∠C
C
A
58°
88°
16.1
21
16
93°
B
A
7) Find m∠C
C
B
26
8) Find m∠C
A
A
24
103° 6
82°
24
20
C
C
B
26
B
29
9) Find m∠A
10) Find m∠C
A
A
9
19
97°
33
25
C
C
22
B
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
24) m∠B = 35°, a = 24, b = 6
Find the area of each triangle to the nearest tenth.
25)
26)
F
R
28°
11 cm
7.6 km
6.7 km
99°
E
11 cm
D
Q
27)
P
28)
H
Y
7 mi
12 mi
K
36°
4 mi
P
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X
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50°
5 mi
Z
Worksheet by Kuta Software LLC
Kuta Software - Infinite Algebra 2
Name___________________________________
The Law of Sines
Date________________ Period____
Find each measurement indicated. Round your answers to the nearest tenth.
1) Find AC
2) Find AB
A
14
A
24
118°
22°
C
8
7
B
53°
44°
B
C
3) Find BC
C
4) Find AB
17
C
B
51°
63°
9
101°
A
B
29.1
27
39°
A
5) Find BC
6) Find m∠C
C
A
58°
88°
16.1
33
21
16
53.8°
93°
B
A
7) Find m∠C
C
B
26
8) Find m∠C
A
A
24
82°
24
20
103° 6
13°
26
C
B
43.1°
C
B
29
9) Find m∠A
10) Find m∠C
A
A
9
19
97°
33
15°
C
25
59°
C
22
B
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
12) m∠B = 45°, a = 28, b = 27
13) m∠C = 145°, b = 7, c = 33
14) m∠B = 73°, a = 7, b = 5
m∠C = 87.8°, m∠A = 47.2°, c = 38.2
Or m∠C = 2.2°, m∠A = 132.8°, c = 1.5
m∠A = 28°, m∠B = 7°, a = 27
15) m∠B = 117°, a = 16, b = 38
Not a triangle
16) m∠B = 84°, a = 18, b = 9
Not a triangle
m∠C = 41°, m∠A = 22°, c = 28
17) m∠B = 105°, b = 23, a = 14
18) m∠C = 13°, m∠A = 22°, c = 9
m∠C = 39°, m∠A = 36°, c = 15
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
20) m∠B = 33°, a = 27, b = 22
One triangle
Two triangles
21) m∠B = 29°, a = 14, b = 19
22) m∠B = 95°, b = 24, a = 5
One triangle
One triangle
23) m∠A = 29°, c = 18, a = 17
Two triangles
24) m∠B = 35°, a = 24, b = 6
None
Find the area of each triangle to the nearest tenth.
25)
26)
F
R
28°
11 cm
7.6 km
6.7 km
99°
E
11 cm
D
59.8 cm²
Q
P
12 km²
27)
28)
H
Y
7 mi
12 mi
K
36°
4 mi
P
X
8.2 mi²
50°
5 mi
Z
23 mi²
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Worksheet by Kuta Software LLC