gabbyechaves04 gabbyechaves04
  • 13-07-2021
  • Mathematics
contestada


Find the missing side or angle.
Round to the nearest tenth.
b=3
a=9
c=11
C= ?

Respuesta :

theleangreenbean
theleangreenbean theleangreenbean
  • 17-07-2021

Answer:

C=125°

Step-by-step explanation:

Hi there!

To find angle C, we can use the cosine law:

[tex]cosC=\frac{a^2+b^2-c^2}{2ab}[/tex]

Plug in the given information

[tex]cosC=\frac{9^2+3^2-11^2}{2(9)(3)}[/tex]

[tex]cosC=\frac{-31}{54}[/tex]

[tex]C=cos^-^1(\frac{-31}{54})[/tex]

[tex]C=cos^-^1(\frac{-31}{54})\\C=125[/tex]

Therefore, angle C is approximately 125 degrees.

I hope this helps!

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