Calculate the side lengths a and b to two decimal places.

a.a = 11.08 and b = 13.54
b.a = 11.08 and b = 12.94
c.a = 6.37 and b = 5.45
d.a = 12.94 and b = 11.08
e.a = 5.45 and b = 6.37

#1) Calculate the side lengths a and b to two decimal places.

In order for us to calculate the side lengths a and b we have to do the following: First calculate angle C = 180-(58+82). If we solve this we will get 40. Now using the sin rule we will have our 3 forms: a/sin58, b/sin82 and, 8.4/sin40.

To solve for a we  have (8.4sin58)/sin40 = 11.08
To solve for b we have (8.4sin82)/sin40 = 12.94

Therefore the correct answer is Choice B) a = 11.08 and b = 12.94

I hope it helps, Regards.

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