Question

a=2,c=√6,C=60° solve the triangle ABC​

Answer 1

Answer:

b = 2.73 units , angle A = 45° and angle B = 75°

Step-by-step explanation:

a/sin A = c/ sin C

=> 2/ sin A = √6/sin 60°

=> 2/sin A = √6/(√3/2)

=> 2/sin A = 2√6/√3

=> 2/sin A = 2√2

=> sin A = 2/2√2

=> sin A = 1/√2

=> A = 45° => answer 1

=> B = 180° - [60° + 45°]

=> B = 75° => answer 2

2/sin 45° = b/sin 75°

=> b = [sin 75° × 2]/sin 45°

=> b = (0.9659 × 2)/1/√2

=> b = 2.73 units