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If a=sqrt3 +1, B=30^@, C=45^@, then c=...

If `a=sqrt3 +1, B=30^@, C=45^@`, then `c=`

A

2

B

3

C

4

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
We have,
`B=30^(@) and C=45^(@) implies A= 105^(@)`
`therefore (a)/(sinA)=(c)/(sinC)`
`implies(sqrt(3)+1)/(sin105^(@))=(c)/(sin45^(@))impliesc=((sqrt(3)+1))/(sqrt(3)+1)xx(1)/(sqrt(2))xx2sqrt(2)=2`
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