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

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

Prove that an equilateral triangle is equiangular.

For a /_\ABC, if cotA.cotB.cotCgt0 , then nature of the triangle is (A) acute angled triangle (B) right angled triangle (C) obtuse angled triangle (D) none of these

In a triangle ABC, if cotA :cotB :cotC = 30: 19 : 6 then the sides a, b, c are

In a Delta ABC , if b + c = 3a, then the value of cotB/2cotC/2, is

If 2tanB +cotB=tanA , prove that: 2tan(A-B)=cotB

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=adot TO PROVE : a r( A B C)=(sqrt(3))/4a^2 CONSTRUCTION : Draw A D_|_B Cdot

In DeltaABC , if b+c=3a , then prove that: cotB/2.cotC/2=2

In DeltaABC,ifcotA,cotB,cotC be in A.P. then a^(2),b^(2),c^(2) are in