Ambiguous Case: Law of Sine

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

• Two Triangles

• One Triangle

• None

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

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

• Two Triangles

• One Triangle

• None

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

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

• Two Triangles

• One Triangle

• None

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

What is the measure of angle A?

• $58\degree$ and $122\degree$

• $61\degree$ and $119\degree$

• $78\degree$ and $102\degree$

• $74\degree$ and $106\degree$

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

Find the indicated angle.

• $49\degree$

• $29\degree$

• $49\degree$ and $131\degree$

• $29\degree$ and $151\degree$

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

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

• no triangle possible

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

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

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

  OR

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

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

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

• no triangle possible

• B = 14^o, C = 21^o, c = 8.7

• B = 52^o, C = 102^o, c = 11.2

• B = 52^o , C = 102^o, c = 11.2

  OR

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

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

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

•  $A=67\degree,\ B=73\degree,\ a=5.7cm$  or  $A=33\degree,\ B=107\degree,\ a=3.5cm$  

•  $A=65.4\degree,\ B=74.6\degree,\ a=5.7cm$  or  $A=34.6\degree,\ B=105.4\degree,\ a=3.5cm$  

• Not a triangle

•  $A=65.4\degree,\ B=74.6\degree,\ a=7cm$  or  $A=34.6\degree,\ B=105.4\degree,\ a=5cm$  

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

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

•  $C=24\degree,\ B=15\degree,\ b=8m$ 

•  $C=24\degree,\ B=15\degree,\ b=7m$ 

• Not a triangle

•  $C=30\degree,\ B=9\degree,\ b=7m$  

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11

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

•  $C=113\degree,\ A=36\degree,\ a=45.4cm$  or  $C=5\degree,\ A=144\degree,\ a=6.1cm$  

•  $C=110.8\degree,\ A=38.2\degree,\ a=47cm$  or  $C=7.2\degree,\ A=141.8\degree,\ a=4cm$  

• Not a triangle

•  $C=110.8\degree,\ A=38.2\degree,\ a=45.4cm$  or  $C=7.2\degree,\ A=141.8\degree,\ a=6.1cm$  

Tags

CCSS.HSG.SRT.D.10

CCSS.HSG.SRT.D.11