Solve the following triangle using either the Law of Sines o

Solve the following triangle using either the Law of Sines or the Law of Cosines. a= 10, b= 11, c = 8 Select the correct choice below and, if necessary, fill in the answer boxes to complete your choice. (Round to two decimal places as needed.) There is only one possible solution for the triangle. The measurements for the angles A, B and C are as follows. There are two possible solutions for the triangle. The measurements for the solution with the smaller angle A are as follows. The measurements for the solution with the larger angle A are as follows. There are no possible solutions for this triangle.

Solution

a = 10 ; b= 11; c= 8

Using cosine rule to find first angle:2bccosA = b^2 +c^2 -a^2

cosA = ( 11^2 +8^2 -10^2)/2*11*8 =0.48

A = 61.31 deg

Now use sine rule: b/sinB = a/sinA

sinB = b*sinA/a = 11*sin61.31/10 =0.965

B1 = 74.78 deg ; B2 = 180 -74.78 = 105.21

C1 = 180 -74.78 - 61.31 = 43.91

;C2 = 180 -105.21 -61.31 = 13.48 deg

So, there are two possible solutions.Option B