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

In a triangle ABC sin (A/2) sin (B/2) sin (C/2) = 1/8 prove that the triangle is equilateral

In a triange ABC, if sin(A/2) sin (B/2) sin(C/2) = 1/8 prove 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 a triangle A B C , if cos A=(sinB)/(2sinC) , show that the triangle is isosceles.

If A, B, C are the angles of a triangle ABC and if cosA=(sinB)/(2sinC) , show that the triangle is isosceles.

In triangle ABC , if cosA+sinA-(2)/(cosB+sinB)=0 then prove that triangle is isosceles right angled.

In a A B C , if cosC=(sinA)/(2sinB) , prove that the triangle is isosceles.

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

In a Delta ABC if (R )/(r ) le 2 , then show that the triangle is equilateral.

If sinA=sin^2B and 2cos^2A=3cos^2B then the triangle ABC is