If in a triangle ABC, `(tanA)/1= (tanB)/2 = (tanC)/3` then prove that `6sqrt(2a)=3sqrt(5b)=2sqrt(10)c`

In a triangle ABC, if (sqrt3-1)a = 2b, A = 3B , then /_C is

If in a triangle ABC, 3 sin A = 6 sin B=2sqrt3sin C , then the angle A is

If in a triangle ABC, 3 sin A = 6 sin B=2sqrt3sin C , then the angle A is

In a DeltaABC , if tanA/2=5/6 and tanB/2=20/37 then tanC/2=

The ratio of angles in a triangle ABC is 2:3:7 then prove that a:b:c=sqrt2:2:(sqrt3+1)

If in a triangle ABC,a^2+b^2+c^2 = ca+ ab sqrt3 , then the triangle is

In a triangle ABC, tanA and tanB satisfy the inequality sqrt(3)x^(2)-4x+sqrt(3) lt 0 , then which of the following must be correct ? (where symbols used have usual meanings)

In a triangle ABC,a/b=2+sqrt(3) and /_C=60^(@) then angle A and B is

In a triangle ABC if 2a=sqrt(3)b+c , then possible relation is

If in a triangle ABC, tanA+tanB+tanC>0 the triangle is (A) acute angled triangle (B) obtuse angled (C) right angled (D) none of these