In any triangle ABC, if cosA + cos B + cosC `=3/2`, then show that the triangle is equilateral.

If in a triangle ABC, cos A +cos B+cos C=3/2 , prove that the triangle is equilateral.

In any triangle ABC, if sin^(2)A + sin^(2)B + sin^(2)C = 9/4 , show that the triangle is equilateral.

In any triangle ABC if cosA + 2cos B + cosC=2 , show that the sides of the triangle are in A.P.

In any triangle ABC, if cosA cos B + sin A sin B sinC =1 then prove that the triangle in an isosceles right angled.

In any triangle ABC if cosA=sinB-cosC then show that any angle of the triangle is a right angle.

In a triangle ABC , acosB + b cosC + c cosA =(a+b+c)/2 then

In a triangle ABC , acosB + b cosC + c cosA =(a+b+c)/2 then

In triangle ABC, 2(bc cosA-ac cosB-ab cosC)=

In any triangle ABC, prove that cosA + cos B + cos C le 3/2