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

When any two sides and one of the opposite acute angle are given, under certain additional conditions two triangles are possible. The case when two triangles are possible is called the ambiguous case. In fact when any two sides and the angle opposite to one of them are given either no triangle is posible or only one triangle is possible or two triangles are possible. In the ambiguous case, let a,b and angle A are given and c_(1), c_(2) are two values of the third side c. On the basis of above information, answer the following questions The value of c_(1)^(2) -2c_(1) c_(2) cos 2A +c_(2)^(2) is

When any two sides and one of the opposite acute are given, under certain additional condition two triangle are possible. The case when two triangle are possible is called the ambiguous case. In fact when any two sides and the angle opposite to one of them are given either no triangle is possible or only one triangle is possible or two triangle are possible. In the ambiguous case, let a, b, and angleA are given and c_1,c_2 are two values of the third side c The difference between two values of c 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_1c_2+c_2^2=a^2, then a is equal to

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_1c_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

If a, b and A are given and c_(1) , c_(3) are two values of the side c in the ambiguous case, then c_(1)^(2) + c_(2)^(2) - 2c_(1)c_(2) * cos 2 A =

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:

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