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Answer:
- b = 2.8253
- A = 45.2°
- C = 107.4°
Explanation:
The given sides form the given angle, so the Law of Cosines can be used to find the third side.
b = √(a² +c² -2ac·cos(B)) ≈ √7.982544072 ≈ 2.8253
The measure of angle A can be found from the Law of Sines.
A = arcsin(a/b·sin(B)) ≈ arcsin(0.71017) ≈ 45.2°
Angle C can be calculated from the other two angles.
C = 180° -27.4° -45.2° = 107.4°