Answer:
b = 18.56
c = 12.75
A = 40°
Step-by-step explanation:
Law of sines: a/sinA = b/sinB= c/sinC
12 / sin (180°-97°-43°) = b/sin97° = c/sin43°
12/sin40° = 12/0.64 = 18.75
b = 18.75 x sin97° = 18.75 x 0.99 = 18.56
c = 18.75 x sin 43° = 18.75 x 0.68 = 12.75
check: 12/sin40° = 12/0.64 = 18.75
b: 18.56 sin97°=0.99 18.56/0.99 = 18.747 ≈ 18.75
c: 12.75 sin43° = 0.68 12.75/0.68 = 18.75
