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∠A = 45°,∠B = 60° and ∠C = 75°
Using sine rule,
∠C = 105°, ∠B = 45°, a = 2
From here we can calculate that
∠A = 30°
a sin B = b sin A
⟹ 2sin 45 = b sin 30
a = 18, b = 24, c = 30, ∠C = 90°
Let a = k sin A, b = k sin B (Using sine rule)
LHS
Let a = k sin A, B = k sin B, c = k sin C
LHS,
= RHS
Let a = k sin A, b = k sin B, c = k sin C
RHS,
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Chapter 10: Sine and Cosine Formulae and Their...