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Determine the values of a, b, and c.

Determine the values of a, b, and c.-example-1
User Gstercken
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Using the Law of Cosines, the values of a, b, and c are approximately 64.62, 52.00, and 56.57, respectively.

The Law of Cosines states that for any triangle with sides of length a, b, and c and angles opposite those sides of length A, B, and C, respectively, the following equation holds:

a² = b² + c² - 2bc*cosA

b² = a² + c² - 2ac*cosB

c² = a² + b² - 2ab*cosC

Angle A = 120°

Angle B = 52°

Angle C = 34°

Substituting the values given in the image, we have:

a = √(52² + 34² - 25234*cos120°) ≈ 64.62

b = √(64.62² + 34² - 264.6234*cos52°) ≈ 52.00

c = √(64.62² + 52² - 264.6252*cos34°) ≈ 56.57

Thus, we can conclude that the values of a, b, and c are approximately 64.62, 52.00, and 56.57, respectively

User Ziteng Chen
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