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In a DeltaABC, if a =2, B = 60°and C =75...

In a `DeltaABC`, if a =2, B = 60°and C =75°, then b=

A

`sqrt3`

B

`sqrt6`

C

`sqrt9`

D

`1+sqrt2`

Text Solution

Verified by Experts

The correct Answer is:
B
We have,
B=60° and C=75° `therefore A + B+C=180° rArrA = 45°`
Using sine rule `a/(sinA)=b/(sinB)=c/(sinC),` we get
`2/(sin45^(@))=b/(sin60^(@))rArrb=sqrt6`
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