Prove that a triangle `A B C` is equilateral if and only if `tanA+tanB+tanC=3sqrt(3)dot`

Prove that a triangle ABC is equilateral if and only if tanA+tanB+tanC=3sqrt(3).

In an acute angled triangle ABC , the minimum value of tanA tanB tanC is

tanA +tanB + tanC = tanA tanB tanC if

tanA +tanB + tanC = tanA tanB tanC if

Statement I The triangle so obtained is an equilateral triangle. Statement II If roots of the equations be tan A, tan B and tanC then tan A + tanB+tanC=3sqrt (3)

Statement I The triangle so obtained is an equilateral triangle. Statement II If roots of the equations be tan A, tan B and tanC then tan A + tanB+tanC=3sqrt (3)

In triangle ABC, prove that the maximum value of tanA/2tanB/2tanC/2i s R/(2s)

In triangle ABC, prove that the maximum value of tanA/2tanB/2tanC/2i s R/(2s)

In triangle ABC, prove that the maximum value of tanA/2tanB/2tanC/2i s R/(2s)

In an acute-angled triangle ABC, tanA+tanB+tanC