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In DeltaABC,2ac" sin "(A-B+C)/(2) is eq...

In `DeltaABC,2ac" sin "(A-B+C)/(2)` is equal to

A

`a^(2)+b^(2)-c^(2)`

B

`c^(2)+a^(2)-b^(2)`

C

`b^(2)-a^(2)-c^(2)`

D

`c^(2)-a^(2)-b^(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
`2acsin((A-B+C)/(2))=2ac sin((180^(@)-2B)/(2))`
`=2acsin(90^(@)-B)`
`=2ac cosB=a^(2)+c^(2)-b^(2)`
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