Solve the triangle, if possible b-115h, 16. 1 h, A-57574 seled the correct choic

Question

Solve the triangle, if possible b-115h, 16. 1 h, A-57574 seled the correct choice below and, i necessary, in the answer boxes to O A. There is only one possible solution for the triangle answer boxes to complete your cheice. (Round side lengths to the nearest tenth and angle measures lo the nearest thousandh as needed) The measurements for the remaining angles B and C and side a are as folows O B. There are two possible solutions for the triangle The measurements for the solution with smaller angle 8 are as The measurements for the solution with smaller angle B are as follows O C. There are no possible solutions for this triangle

Explanation / Answer

b = 11.5 , c = 16.1 , A = 57.574

applying law of cosines

a^2 = 11.5^2 + 16.1^2 - 2 * 11.5 * 16.1 cos 57.574

a = 13.9 in

there is only one solution

applying law of sines

13.9 / sin 57.574 = 11.5 / sin B

B = 44.339 degrees

13.9/ sin 57.574 = 16.1 / sin C

C = 78.087 degrees

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