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If, in DeltaABC,a=16,b=24,c=20 then, sin...

If, in `DeltaABC,a=16,b=24,c=20` then, `sin((A)/(2))=____`

A

`(1)/(2sqrt(2))`

B

`(1)/(sqrt(2))`

C

`(3)/(2sqrt(2))`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
`2s=a+b+c=16+24+20=60`
`therefores=30`
`thereforesin((A)/(2))=sqrt((s-b)(s-c))/(bc))`
`=sqrt(((30-24)(30-20))/((24)(20)))=(1)/(2sqrt(2))`
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