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

Similar Questions

Explore conceptually related problems

If in triangle ABC, cot A + cot B + cot C = sqrt3 , prove that the triangle is equilateral.

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

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

If in a Delta ABC , cot A + cot B + cot C = sqrt(3) . Prove that triangle is equilateral

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

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

Prove that if cot A + cot B + cot C = sqrt3 , the triangle will be equilateral.

In a triangle ABC if sinA+sinB+sinC = 3^(3/2)/2 prove that the triangle is equilateral.

If in triangle ABC cosA+cosB+cosC=3/2 then prove that triangle is equilateral

In any triangle ABC "if" (b+c)/(a)="cot"(A)/(2) , prove that the triangle is right-angled.