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In $Δ A B C \cos A + \cos B + \cos C = \frac{7}{4}$ and $\frac{r}{R} = \frac{k}{4}$ , then $k =$

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Correct option is C

cosA+cosB+cosC=74⇒1+4sinA2sinB2sinC2=74 if A+B+C=π,then cosA+cosB+cosC=1+4sinA2sinB2sinC2⇒4sinA2sinC2sinB2=34⇒rR=34 ∵4RsinA2sinC2sinB2=r⇒k=3

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In ΔABC cosA+cosB+cosC=74 andrR=k4, then k=

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Ready to Test Your Skills?

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In $Δ A B C \cos A + \cos B + \cos C = \frac{7}{4}$ and $\frac{r}{R} = \frac{k}{4}$ , then $k =$