Respuesta :

Answer:  133 cm

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Explanation:

I'm going to relabel the figure as triangle ABC.

As the instructions mention, we'll use the law of cosines to find the missing side.

  • side a = 147
  • side b = 166
  • angle C = 50 degrees

Use these facts to find side c

c^2 = a^2 + b^2 - 2*a*b*cos(C)

c^2 = 147^2 + 166^2 - 2*147*166*cos(50)

c^2 = 17794.393497

c = sqrt(17794.393497)

c = 133.395628

c = 133