In a `delta ABC,` a,c, A are given and `b_(1) , b_(2)` are two values of third side b such that `b_(2)=2b_(1).` Then, the value of sin A.

In A B C ,a , ca n dA are given and b_1,b_2 are two values of the third side b such that b_2=2b_1dot Then prove that sinA=sqrt((9a^2-c^2)/(8c^2))

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 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

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

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 in triangle ABC, a, c and angle A are given and c sin A lt a lt c , then ( b_(1) and b_(2) are values of b)

In a Delta ABC , a, b, c are sides and A, B, C are angles opposite to them, then the value of the determinant |(a^(2),b sin A,c sin A),(b sin A,1,cos A),(c sin A,cos A,1)| , 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

In a Delta ABC,a,b,c are the sides of the triangle opposite to the angles A,B,C respectively. Then, the value of a^3 sin(B-C)+b^3 sin(C-A)+c^3 sin(A) is equal to (B) 1 (C) 3 (D) 2