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In a DeltaABC,"tan"(A)/(2)and"tan"(B)/(2...

In a `DeltaABC,"tan"(A)/(2)and"tan"(B)/(2)`, satisfy `6x^(2)-5x+1=0`. Then ,

A

`a^(2)+b^(2)gtc^(2)`

B

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

C

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

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
`"tan"(A)/(2)+"tan"(B)/(2)=(5)/(6),"tan"(A)/(2)*"tan"(B)/(2)=(1)/(6)`
`rArrtan((A+B)/(2))=("tan"(A)/(2)+"tan"(B)/(2))/(1-"tan"(A)/(2)"tan"(B)/(2))=1`
`rArrA+B=2xx(pi)/(4)`
`rArrDelta` is right angled at `angleC`.
`thereforec^(2)=a^(2)+b^(2)`
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