In a \[\Delta ABC\], \[a,\ b,\ A\]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

\[\frac{1}{2}{{a}^{2}}\sin 2A\]

\[\frac{1}{2}{{b}^{2}}\sin 2A\]

In a \[\Delta ABC\], \[a,\ b,\ A\]are given and \[{{c}_{1}},\ {{c}_{2}

1.	In a \[\Delta ABC\], \[a,\ b,\ A\]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
A.	\[\frac{1}{2}{{b}^{2}}\sin 2A\]
B.	\[\frac{1}{2}{{a}^{2}}\sin 2A\]
C.	\[{{b}^{2}}\sin 2A\]
D.	None of these
Answer» B. \[\frac{1}{2}{{a}^{2}}\sin 2A\]

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In a \[\Delta ABC\], \[a,\ b,\ A\]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

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