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S=(h)/(2)[2a+(h-1)d], express d in terms...

`S=(h)/(2)[2a+(h-1)d]`, express d in terms of s, h and a.

A

`d=(2s-ah)/(h(h-1))`

B

`d=(2s-2ah)/(h(h-1))`

C

`d=(s-ah)/(sh(h-1))`

D

`d=(s-2ah)/(h(h-1))`

Text Solution

Verified by Experts

The correct Answer is:
B
`s=(h)/(2)[2a(h-1)d]`
`(2s)/(h)=2a+(h-1)d`
`(2s)/(h)-2a=(h-1)d`
`(2s-2ah)/(h)=(h-1)d`
`d=(2s-2ah)/(h(h-1))`
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