Solve the triangle A54 B51 a5 Do not round until the final a

Solve the triangle. A=54°, B=51°, a-5 (Do not round until the final answer. Then round to the nearest degree as needed.) (Do not round until the final answer. Then round to the nearest tenth as needed.) CA (Do not round until the final answer. Then round to the nearest tenth as needed.)

Solution

given A=54^o , B=51^o , a=5

for triange A+B+C=180

C=180-A-B

= 180 - 54 - 51

= 75^o

by sine law

a/sinA = b/sinB = c/sinC

now b = a sinB/sinA = 5 *sin51/sin54 = 4.8

c = a sinC/sinA = 5 sin75/sin54 = 5.97

C=75, b=4.8 , c=5.97