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

Options

A. `2sqrt((a^2-b^2)`
B. `sqrt((a^2-b^2)`
C. `2sqrt((a^2-b^2sin^2A)`
D. `sqrt((a^2-b^2sin^2A)`

Answer

C