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Problem
Problem
In a
△
A
B
C
,
a
,
b
,
A
\triangle ABC, a, b, A
△
A
B
C
,
a
,
b
,
A
are given and
c
1
,
c
2
c_1, c_2
c
1
,
c
2
are two values of the third side
c
c
c
. The sum of the areas two triangles with sides
a
,
b
,
c
1
a, b, c_1
a
,
b
,
c
1
and
a
,
b
,
c
2
a, b, c_2
a
,
b
,
c
2
is a.
1
2
b
2
sin
2
A
\frac{1}{2} b^2 \sin 2A
2
1
b
2
sin
2
A
b.
1
2
a
2
sin
2
A
\frac{1}{2} a^2 \sin 2A
2
1
a
2
sin
2
A
c.
b
2
sin
2
A
b^2 \sin 2A
b
2
sin
2
A
d. None of these
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