Question

in triangle abc if cot a + cot b + cot c = root 3 then triangle abc is

Answer 1

If cotA + cotB + cotC = $\sqrt{3}$
As A + B + C = 180
So let A = 60 , B = 60 , C = 60
Then cot60 + cot60 + cot60 = 3/$\sqrt{3}$
So the triangle is equilateral. As all three angles are 60 .