Answer: 133 cm
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Step-by-step 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