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

Prove that a triangle ABC is equilateral if and only if tan A+tan B+tan C=3sqrt(3).

Prove that the triangle ABC is equilateral if cot A+cot B+cot C=sqrt(3)

Write the negatin of each of the statement : ABC is an equilateral triangle if and only if it is equiangular.

tanA +tanB + tanC = tanA tanB tanC if

Prove that the area of an equilateral triangle is equal to sqrt3/4 a^(2) , where a is the side of the triangle.

If, in a triangleABC , tanA =1 and tanB=2, then: tanC=

Prove that in triangle ABC, sin A+sin B+Cle(3sqrt(3))/(2)