If in any ∆ABC, ∠C = 105o, ∠B = 45o, a = 2, then find b.
We know in a triangle,
∠A + ∠B + ∠C = 180°
⇒ ∠A = 180° - ∠B - ∠C
Substituting the given values, we get
∠A = 180° - 45° - 105°
⇒ ∠A = 30°
Let a, b, c be the sides of the given triangle. Then by applying the sine rule, we get
Now substituting the corresponding values we get
Substitute the equivalent values of the sine, we get
Hence the value of b is 2√2 units.