Solve the triangle a 5 b 12 c 8 A degree Do not round un

Solve the triangle. a = 5, b = 12, c = 8 A = degree (Do not round until the final answer. Then round to the nearest degree as needed.) B = degree (Do not round until the final answer. Then round to the nearest degree as needed.) C = degree (Do not round until the final answer. Then round to the nearest degree as needed.)

Solution

a= 5 , b = 12 , c = 8

applying law of cosines

c^2 = a^2 + b^2 - 2ab cos C

8^2 = 5^2 + 12^2 - 2(5) ((12) cos C

C = 29 degrees

applying law of sines now

a / sin A = c / sin C

5 / sin A = 8 / sin 29

A = 17.60 = 18 degrees

B = 180 - ( 29 + 18 )

B = 133 degrees