In an acute-angled triangle ABC, `tanA+tanB+tanC`A. `ge3`B. `gesqrt3`C – InterviewSolution

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1.	In an acute-angled triangle ABC, `tanA+tanB+tanC`A. `ge3`B. `gesqrt3`C. `ge3sqrt3`D. none of these
Answer» Correct Answer - C In `DeltaABC,` we have `tanA +tanB+tanC=tanAtanBtanC" "...(i)` But, `A.M geG.M.` `implies(tanA+tanB+tanC)/(3)ge(tanAtanBtanC)^(1//3)` `implies((tanAtanBtanC)/(3))ge(tanAtanBtanC)^(1//3)" "["Using(i)"]` `implies((tanAtanBtanC)/(3))^(2//3)ge1` `impliestanAtanB tanCge3^(3//2)` `tan A tanBtanCge3sqrt3`

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