In AABC, Wb c = 3a then Tan Ba Tan 612 =
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cot
2
B
⋅cot
2
C
we know,
cot
2
B
=
(s−a)(s−c)
s(s−b)
,cot
2
C
=
(s−a)(s−b)
s(s−c)
∴cot
2
B
⋅cot
2
C
=
s−a
s
s=
2
a+b+c
⇒
2
a+3a
,s=2a
cot
2
B
⋅cot
2
C
=
2a−a
2a
⇒2
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