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Answer :
Final answer:
To solve the given triangle, use the law of sines and law of cosines. Determine angle C using the angle sum property, then use the law of sines to find sides a and b. Use the law of cosines to find side c.
Explanation:
To solve the given triangle, we can use the law of sines and law of cosines. First, we need to determine the angle C using the angle sum property of a triangle. Then, we can use the law of sines to find the lengths of sides a and b. Finally, we can use the law of cosines to find the remaining side c.
- Using the angle sum property, we can find angle C = 180° - B - y = 27.2°.
- Using the law of sines, we can find side a = (b * sin(A)) / sin(C) = 18.1.
- Using the law of sines again, we can find side b = (a * sin(B)) / sin(C) = 20.1.
- Finally, using the law of cosines, we can find side c = sqrt(a^2 + b^2 - 2ab*cos(C)) = 38.4.
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