Find the solutions for a triangle with a =16 c =12 and b=63 degrees

Side b is 15.02,

Angle C is 45.39° and angle A is 71.61°

Step-by-step explanation:

Let in triangle ABC,

BC = a = 16 unit,

AB = c = 12 unit,

∠B = 63°,

By the law of cosine,

By substituting the values,

By the law of sine,

∵ The sum of all interior angles of a triangle is supplementary,

⇒ ∠A + ∠B + ∠C = 180°

⇒ ∠A + 63° + 45.39° = 180°

⇒ ∠ A + 108.39° = 180°

⇒ ∠A = 71.61°