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

Prove that the triangle ABC is equilateral if cotA+cotB+cotC=sqrt3

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

tanA +tanB + tanC = tanA tanB tanC if

Prove that measure of each angle of an equilateral triangle is 60^0dot

Prove that measure of each angle of an equilateral triangle is 60^0dot

Let triangle ABC be right angled at C.If tanA+tanB=2 , then-

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)

Prove that the area of an equilateral triangle is equal to (sqrt(3))/4a^2, where a is the side of the triangle. GIVEN : An equilateral triangle A B C such that A B=B C=C A=a . TO PROVE : a r(triangle A B C)=(sqrt(3))/4a^2 . CONSTRUCTION : Draw A D_|_B C .

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)