Solve the triangle, if possible. a 18.72 cm, b 8.74 cm, A 34.8° Select the corre

Question

Solve the triangle, if possible. a 18.72 cm, b 8.74 cm, A 34.8° Select the correct choice below and, if necessary, fill in the answer box to complete your choice. (Round degree measures to the nearest tenth as needed. Round side measures to the nearest hundredth as needed.) O A. There are 2 possible solutions to the triangle. The measurements for the solution with the longer side c are as follows. CR BRI The measurements for the solution with the shorter side c are as follows. BR CR CR B. There is 1 possible solution to the triangle. The measurements for the remaining angles B and C and side c are as follows. BR 14.8 CR 130.4 CR 25 cm O C. There are no possible solutions for the triangle.

Explanation / Answer

a=18.72, A=34.8 ,b=8.74

sinA/a=sinB/b=sin34.8/18.72=sinB/8.74

B=15.45 degree

C=180-A-B=129.75

sin 129.75/c=sin 34.8/18.72

c=25.22

Yes we have only one triangle possible

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