Use the Law of Cosines to solve the triangle Round your answ

Use the Law of Cosines to solve the triangle. (Round your answers to two decimal places.) B = 19 degree 35\'. a = 43, c = 38 A = degree C = degree b = Use the Law of Cosines to solve the triangle. Round your answers to two decimal places.

Solution

B=19degree35\'= 19.58 degree

a=43

c=38

using cosine law

b²=a²+c²-2ac cos B

b²= 43²+38²-2(43)(38)cos 19.58

b²= 3293- 3268 cos19.58

b²=213.97

b= 14.63

using sine law

sinB/b=sinA/a

sinA= a sin B/b= 38 sin 19.58/14.63= 60.51 degree

C=180-A-B= 99.91 degree