wayground logo

Free Printable Worksheets

NEW

Font size

S
M
L
XL
Worksheets

Ambiguous Case: Law of Sine

Total questions: 10

Worksheet time: 3hrs 30mins

Name
Class
Date
1.

State the number of possible triangles that can be formed using the given measurements.
 B=139°, a=12 cm, b=35 cmB=139\degree,\ a=12\ cm,\ b=35\ cm  

a)

Two Triangles

b)

One Triangle

c)

None

2.

State the number of possible triangles that can be formed using the given measurements.
 B=147°, a=25 km, b=15 kmB=147\degree,\ a=25\ km,\ b=15\ km  

a)

Two Triangles

b)

One Triangle

c)

None

3.

State the number of possible triangles that can be formed using the given measurements.
 A=36°, c=30 km, a=26 kmA=36\degree,\ c=30\ km,\ a=26\ km  

a)

Two Triangles

b)

One Triangle

c)

None

4.

What is the measure of angle A?

a)

58°58\degree and 122°122\degree

b)

61°61\degree and 119°119\degree

c)

78°78\degree and 102°102\degree

d)

74°74\degree and 106°106\degree

5.

Find the indicated angle.

a)

49°49\degree

b)

29°29\degree

c)

49°49\degree and 131°131\degree

d)

29°29\degree and 151°151\degree

6.

Solve the Triangle(s):  a=14a=14 ,  b=6b=6 , A=27°A=27\degree  

a)

no triangle possible

b)

B = 11.219o, C = 141.781o, c = 19.078

c)

B = 38.219o, C = 114.781o, c = 27.998

d)

B = 11.219o, C = 141.781o, c = 19.078

OR

B = 38.219o, C = 114.781o, c = 27.998

7.

Solve the Triangle(s): A = 26o, a = 5, b = 9

a)

no triangle possible

b)

B = 14o, C = 21o, c = 8.7

c)

B = 52o, C = 102o, c = 11.2

d)

B = 52o , C = 102o, c = 11.2

OR

B = 128o, C = 26o, c = 5.0

8.

Solve the triangle
 C=103°, b=16cm, c=12cmC=103\degree,\ b=16cm,\ c=12cm  

a)

 A=67°, B=73°, a=5.7cmA=67\degree,\ B=73\degree,\ a=5.7cm  or  A=33°, B=107°, a=3.5cmA=33\degree,\ B=107\degree,\ a=3.5cm  

b)

 A=65.4°, B=74.6°, a=5.7cmA=65.4\degree,\ B=74.6\degree,\ a=5.7cm  or  A=34.6°, B=105.4°, a=3.5cmA=34.6\degree,\ B=105.4\degree,\ a=3.5cm  

c)

Not a triangle

d)

 A=65.4°, B=74.6°, a=7cmA=65.4\degree,\ B=74.6\degree,\ a=7cm  or  A=34.6°, B=105.4°, a=5cmA=34.6\degree,\ B=105.4\degree,\ a=5cm  

9.

Solve the triangle
 A=141°, c=11m, a=17mA=141\degree,\ c=11m,\ a=17m  

a)

 C=24°, B=15°, b=8mC=24\degree,\ B=15\degree,\ b=8m 

b)

 C=24°, B=15°, b=7mC=24\degree,\ B=15\degree,\ b=7m 

c)

Not a triangle

d)

 C=30°, B=9°, b=7mC=30\degree,\ B=9\degree,\ b=7m  

10.

Solve the triangle
 B=31°, a=30cm, b=25cmB=31\degree,\ a=30cm,\ b=25cm  

a)

 C=113°, A=36°, a=45.4cmC=113\degree,\ A=36\degree,\ a=45.4cm  or  C=5°, A=144°, a=6.1cmC=5\degree,\ A=144\degree,\ a=6.1cm  

b)

 C=110.8°, A=38.2°, a=47cmC=110.8\degree,\ A=38.2\degree,\ a=47cm  or  C=7.2°, A=141.8°, a=4cmC=7.2\degree,\ A=141.8\degree,\ a=4cm  

c)

Not a triangle

d)

 C=110.8°, A=38.2°, a=45.4cmC=110.8\degree,\ A=38.2\degree,\ a=45.4cm  or  C=7.2°, A=141.8°, a=6.1cmC=7.2\degree,\ A=141.8\degree,\ a=6.1cm