If any ΔABC , ∠C = 75°, ∠B = 45° and a = √3, then find the value of b.

  1. 1
  2. √2
  3. 2√2
  4. 2√3

Answer (Detailed Solution Below)

Option 2 : √2
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Detailed Solution

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Concept:

Concept:

In triangle ABC, According to the Sine rule

Where, a, b, c are sides and A, B, C are angles of triangle.

Sum of the angle in triangle is 180° 

Calculation:

Given: ∠C = 75°, ∠B = 45° and a = √3

∠A + ∠B + ∠C = 180° 

⇒ ∠A = 180° - 75° - 45° 

⇒ ∠A = 60° 

Sine rule

⇒ 

⇒ 

⇒ 

⇒ b = √2 

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