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BMT Problems
2013 BMT Spring
12
12
Part of
2013 BMT Spring
Problems
(1)
2013 BMT Individual 12
Source:
1/18/2022
Triangle
A
B
C
ABC
A
BC
satisfies the property that
∠
A
=
a
log
x
\angle A = a \log x
∠
A
=
a
lo
g
x
,
∠
B
=
a
log
2
x
\angle B = a \log 2x
∠
B
=
a
lo
g
2
x
, and
∠
C
=
a
log
4
x
\angle C = a \log 4x
∠
C
=
a
lo
g
4
x
radians, for some real numbers
a
a
a
and
x
x
x
. If the altitude to side
A
B
AB
A
B
has length
8
8
8
and the altitude to side
B
C
BC
BC
has length
9
9
9
, find the area of
△
A
B
C
\vartriangle ABC
△
A
BC
.
algebra