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If a=2sqrt(2),b=6,A=45^(@), then...

If `a=2sqrt(2),b=6,A=45^(@)`, then

A

no triangle is possible

B

one triangle is possible

C

two triangles are possible

D

either no triangle or two triangles are possible

Text Solution

Verified by Experts

The correct Answer is:
A
Using sine rule,
`(a)/(sinB)=(b)/(sinB)rArr(2sqrt(2))/(sin45^(@))=(6)/(sinB)`
`rArrsinB=(6)/(2sqrt(2))xx(1)/(sqrt(2))=(6)/(4)=(3)/(2)gt1` which is not possible . Hence ,no triangleis possible.
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