Answer:
b = 7.56 cm
Step-by-step explanation:
Sum of the angles in a triangle = 180
so m∠A = 180 - 75 - 36 = 69 ;
use the law of sines:
(sin A) / a = (sin B) / b = (sin C) / C.
Now plug in ∠A = 69 into formula (sin A) / a = (sin B) / b and solve for b:
(sin 69) / 12 = (sin 36) / b
cross multiply:
b sin 69 = 12 sin 36 divide each side by sin 69
b = {12 sin 36} / sin 69
b = (12 sin 36) / sin 69 = 7.555........
b = 7.56
