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

In triangle ABC if cotA +cot B +cot C=sqrt3 then prove that the triangle is an equilateral triangle

In a triangle ABC, If cot A+ cotB +cot C=sqrt3, then show that the triangle is equilateral.

Consider a triangle ABC such that cotA+cotB+cotC=cot theta . Now answer the following : Q. sin(A-theta)sin(B-theta) sin(C-theta)= :

Consider a triangle ABC such that cotA+cotB+cotC=cot theta . Now answer the following : Q. sin(A-theta)sin(B-theta) sin(C-theta)= :

In a triangle A+B+C=90 then prove that cotA+cotB+cotC=cotAcotBcotC

In a DeltaABC , if cotA +cotB+cotB= sqrt(3) , prove that the triangle is equilateral.

If in any triangle ABC, cot A + cotB + cotC = sqrt(3) , prove that, the triangle is equilateral.

If in a Delta ABC ,tanA+tanB+tanC=6, then cotA cotB cotC=

If in triangleABC ,3a^2=b^2+c^2 then cotB+cotC-cotA=