Let `ABC` be a triangle such that `angleABC=pi/6` and let `a, b and c` denote the lengths of the sides opposite to `A, B and C` respectively. The value(s) of x for which `a=x^2+x+1,b=x^2-1 and c=2x+1` is / are (a) `-(2+sqrt3)` (b) `1+sqrt3` (c) `2+sqrt3` (d) `4qsrt3`

Let ABC be a triangle such that angleACB=pi/6 and let a , b and c denote the lengths of the side opposite to A ,B and C respectively. The value of x for which a=x^(2)+x+1,b=x^(2)-1 and c=2x+1 is

Let ABC be a triangle such that /_ABC=(pi)/(6) and let a,b and c denote the lengths of the sides opposite to A,B and C respectively. The value(s) of x for which a=x^(2)+x+1,b=x^(2)-1 and c=2x+1 is /are(a)-(2+sqrt(3))(b)1+sqrt(3)(c)2+sqrt(3) (d) 4qsrt3

Let ABC be a triangle such that /_ACB=(pi)/(6) and let a,b and c denote the lengths of the side opposite to A,B, and C respectively.The value(s) of x for which a=x^(2)+x+1,b=x^(2)-1, and c=2x+1 is(are) -(2+sqrt(3))( b) 1+sqrt(3)2+sqrt(3)(d)4sqrt(3)

Consider a triangle ABC and let a,b and c denote the lengths of the sides opposite to vertices A,B and C respectively.If a=1,b=3 and C=60^(@), the sin^(2)B is equal to

If the angle A,B and C of a triangle are in an arithmetic propression and if a,b and c denote the lengths of the sides opposite to A,B and C respectively,then the value of the expression (a)/(c)sin2C+(c)/(a)sin2A is (1)/(2)(b)(sqrt(3))/(2) (c) 1(d) sqrt(3)

In a "Delta"A B C , let a ,b , and c denote the length of sides opposite to vertices A, B, and C respectively. If b=2,c=sqrt(3) and /_B A C=pi/6, then value of circumradius of triangle ABC is- 1/2 (2) 1 (3) 2 (4) 1/4

Consider a triangle ABC and let a, b and c denote the lengths of the sides opposite to vertices A, B and C, respectivelu. Suppose a = 6, b = 10 and the triangle is 15 sqrt3 . If angle ACB is obtus and if r denotes than radius of the incircle of the triangle, then the value of r^(2) is _____

In a triangle ABC, a=1cm, b=sqrt3 and C=(pi)/(6) , find the third side of the triangle :

Delta ABC has a right angle at A. If BC = sqrt2 and AB = AC = 1 then sin B is equal to (a) (1)/(sqrt2) (b) sqrt2 (c) (sqrt3)/(2) (d) sqrt3