Solve the triangle. a = 12, b = 22, c = 95°

c = 26 , ∠A = 27.38° and ∠B = 57.62°

Step-by-step explanation:

Given:

a = 12 , b = 22  and ∠C = 95°

To find: c , ∠A and ∠B

We use Law of cosine and Law of sine to solve the triangle.

Law of cosine states that c² = a² + b² - 2ab cos C

Law of sines states that

Now, using Law of cosine,

c² = 12² + 22² - 2(12)(22) cos 95

c² = 144 + 484 - 528(-0.087)

c² = 628 + 45.9

c² = 673.93

c = 25.96 ≈ 26

Now using Law of sines

Therefore, c = 26 , ∠A = 27.38° and ∠B = 57.62°

c ≈ 26, A ≈ 27.6°, B ≈ 57.4°

 c ≈ 26, A ≈ 54.4°, B ≈ 30.6°

 c ≈ 25.1, A ≈ 27.6°, B ≈ 57.4°

 c ≈ 25.1, A ≈ 31.6°, B ≈ 53.4° 

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step-by-step explanation: