If `a,b and /_A` are given in a triangle and `c_(1),c_(2)` are the possible values of the remaining side,then `c_(1)^(2)+c_(2)^(2)-2c_(1)c_(2)cos2A` is equal to:

If a, b and A are given in a triangle and c_(1), c_(2) are possible values of the third side, then prove that c_(1)^(2) + c_(2)^(2) - 2c_(1) c_(2) cos 2A = 4a^(2) cos^(2)A

If a,b,A be given in a triangle and c_(1) and c_(2) be two possible value of the third side such that c_(1)^(2)+c_(1)c_(2)+c_(2)^(2)=a^(2), then a is equal to

If a , b ,\ A are given in a triangle and c_1a n d\ c_2 are two possible values of third side such that c_1^2+c_1c_2+c_2^2=a^2 , then A is equal to 30^0 (b) 60^0 (c) 90^0 (d) 120^0

In the ambiguous case,if a,b and A are given and c_(1),c_(2) are the two values of the third (c_(1)-c_(2))^(2)+(c_(1)+c_(2))^(2)tan^(2)A is equal to

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

In a Delta ABC, a,b,A are given and c_(1), c_(2) are two valus of the third side c. The sum of the areas two triangles with sides a,b, c_(1) and a,b,c_(2) is

If in a triangles a cos^(2)(C/2)+c cos^(2)(A/2)=(3b)/2 , then the sides of the triangle are in

In an ambiguoa ambiguous case of solving a triangleshen a=sqrt(5),b=2,/_A=(pi)/(6) and the two possible values of third side are c_(1) and c_(2), then

In Delta ABC, a, b and A are given and c_(1), c_(2) are two values of the third side c. Prove that the sum of the area of two triangles with sides a, b, c_(1) and a, b c_(2) " is " (1)/(2) b^(2) sin 2A

In a DeltaABC , a,b,A are given and c_(1),c_(2) are two values of the third side c. The sum of the areas of two triangles with sides a,b, c_(1) and a,b, c_(2) is