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If r=sqrt(8/3) and R=35/(4sqrt6) then th...

If `r=sqrt(8/3)` and `R=35/(4sqrt6)` then the value of sin `X/2`sin `Y/2`sin `Z/2` =

A

`6/35`

B

`4/35`

C

`2/35`

D

`8/35`

Text Solution

Verified by Experts

We know that
`r=4RsinX/2sinY/2sinZ/2`
we have `r=sqrt(8/3)` and `R=35/(4sqrt6)`
`thereforesqrt(8/3)=35/(sqrt6)sinX/2sinY/2sinZ/2rArrsinX/2sinY/2sinZ/2=4/35`
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