If in a ∆ABC, ∠A = 45o, ∠B = 60o, and ∠C = 75o; find the ratio of its sides.
Let a, b, c be the sides of the given triangle. Then by applying the sine rule, we get
Now substituting the given values we get
(∵ sin (a + b) = sin a cos b + sin b cos a)
Now substituting the corresponding values, we get,
Multiplying 2√2, we get
Hence the ratio of the sides of the given triangle is