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Problem
Problem
In
△
A
B
C
\triangle ABC
△
A
B
C
, if
a
=
10
a = 10
a
=
10
and
b
cot
B
+
c
cot
C
=
2
(
r
+
R
)
b \cot B + c \cot C = 2(r + R)
b
cot
B
+
c
cot
C
=
2
(
r
+
R
)
, then the maximum area of
△
A
B
C
\triangle ABC
△
A
B
C
will be a. 50 b.
50
\sqrt{50}
50
c. 25 d. 5
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