In the ambiguous case, it two triangles are formed with a, b, A, then that the sum of areas of these triangles is `1/2 b^(2) sin 2A`.

In the ambiguous case of the solution of triangle, prove that the circumcircles of the two triangles are of same size.

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 triangle ABC, which of the following quantities denote the area of the triangles (a^2-b^2)/2(sinA sinB)/(sin(A-B))

If in a triangle ABC ,a sin A=b sin B, then the triangle, is

In a triangle ABC, prove that the ratio of the area of the incircle to that of the triangle is pi:cot(A/2) cot(B/2) cot(C/2)

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 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 Two different triangles are possible when

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 difference between two values of c is

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

In the ambiguous case if the remaining angles of a triangle with given a, b, A and B_(1),B_(2),C_(1),C_(2) then (sin C_(1))/(sin B_(1))+(sin C_(2))/(sin B_(2))=