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zlopas [31]
3 years ago
5

If you help me answer this question i will give you brainiest!!

Mathematics
1 answer:
babymother [125]3 years ago
5 0

We have c=3.7 cm, B=97 degrees, area Δ=22.4 sq cm, and we'll call A the vertex opposite a and C the vertex opposite c=3.7 as usual.

Δ = (1/2)  ac sin B

a = 2Δ / (c sin B)

Now we have a Law of Cosines situation for b

b² = a² + c² - 2 a c cos B

We could substitute for a general solution but let's just plug in the numbers,

a = 2(22.4) / (3.7 sin 97) = 12.199

b = √(a² + c² - 2 a c cos B)

b = √(12.199² + 3.7² - 2 (12.199)(3.7) cos 97) = √173.507 = 13.17

Answer: 13.2 cm

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