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Question: In a triangle ABC if BC =1 and AC = 2. Then the maximum possible value of angle A is-...

In a triangle ABC if BC =1 and AC = 2. Then the maximum

possible value of angle A is-

A

π/6

B

π/4

C

π/3

D

π/2

Answer

π/6

Explanation

Solution

1sinA\frac{1}{\sin A}=2sinB\frac{2}{\sin B}

2sin A = sin B

maximum of sin A = 12\frac{1}{2}

Hence A = π/6