Answer:
4.97485 (approximately)
Step-by-step explanation:
You have the information SAS given.
This is a case for law of cosines.
[tex]b^2=a^2+c^2-2ac*cos(B)[/tex]
[tex]b^2=12^2+10^2-2(12)(10)*cos(24)[/tex]
[tex]b^2=144+100-240cos(24)[/tex]
[tex]b^2=244-240cos(24)[/tex]
Take the square root
[tex]b=\sqrt{244-240cos(24)}[/tex]
I was saving rounding to the end that is why I didn't put 240*cos(24) in my calculator.
So now I'm going to put sqrt(244-240*cos(24)) in my calculator. Make sure your calculator says deg (for degrees).
4.97485 (approximately)
