Let `a ,\ b` and `c` denote the sides `B C ,\ C A` and `A B` respectively of ` A B C` . If `|1a b1c a1b c|=0,` then find the value of `s in^2A+s in^2B+s in^2C` .

Let a ,\ b and c denote the sides B C ,\ C A and A B respectively of A B C . If |1a b1c a1b c|=0, then find the value of sin^2A+sin^2B+sin^2C .

Let a,b and c denote the sides BC,CA and AB rind the value of ABC. If |ab1ca1bc|=0 then find the value of s in^(2)A+s in^(2)B+s in^(2)C

Let a, b, c be the sides of a triangle and let A, B, C be the respective angles. If b+c=3a, then find the value of the ratio cos((B-C)/2)/cos((B+C)/2)

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

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

If a ,b ,c denote the lengths of the sides of a triangle opposite to angles A ,B ,C respectively of a A B C , then the correct relation among a ,b , cA ,Ba n dC is given by (b+c)sin((B+C)/2)=acos b. (b-c)cos(A/2)=asin((B-C)/2) c. (b-c)cos(A/2)=2asin((B-C)/2) d. (b-c)sin((B-C)/2)="a c o s"A/2

Let a,b,c be the sides of a triangle ABC, a=2c,cos(A-C)+cos B=1. then the value of C is

Let a,b,c be the sides of a triangle ABC, a=2c,cos(A-C)+cos B=1. then the value of C is

Let a,b,c be the sides of a triangle ABC, a=2c,cos(A-C)+cos B=1. then the value of C is

Let ABC be a triangle such that /_ACB=(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)