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Internal bisectors of DeltaABC meet the ...

Internal bisectors of `DeltaABC` meet the circumcircle at point D, E, and F
Area of `DeltaDEF` is

A

`2R^(2) cos^(2)((A)/(2))cos^(2)((B)/(2))cos^(2)((C )/(2))`

B

`2R^(2)sin((A)/(2))sin((B)/(2))sin((C )/(2))`

C

`2R^(2)sin^(2)((A)/(2))sin^(2)((B)/(2))sin^(2)((C )/(2))`

D

`2R^(2)cos((A)/(2))cos((B)/(2))cos((C )/(2))`

Text Solution

Verified by Experts

The correct Answer is:
D
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