pronutesh
pronutesh pronutesh
  • 26-07-2018
  • Mathematics
contestada

In triangle ABC, a = 9, c = 5, and B = 120°. Find b^2

Respuesta :

Numenius
Numenius Numenius
  • 01-08-2018

We can find b by using the cosine rule of a triangle.

[tex] b^2=a^2+c^2-2ac CosB [/tex]

First step is to plug in the given values in the above equation. So,

[tex] b^2=9^2+5^2-2*9*5*Cos (120) [/tex]

[tex] b^2=81+25-90(-\frac{1}{2} ) [/tex]

=106+45

=151

So, b^2=151

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