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Problem
Problem
In
Δ
A
B
C
\Delta ABC
Δ
A
B
C
,
a
:
b
:
c
=
(
1
+
x
)
:
1
:
(
1
−
x
)
a : b : c = (1+x) : 1 : (1-x)
a
:
b
:
c
=
(
1
+
x
)
:
1
:
(
1
−
x
)
, where
x
∈
(
0
,
1
)
x \in (0, 1)
x
∈
(
0
,
1
)
. If
∠
A
=
π
2
+
∠
C
\angle A = \frac{\pi}{2} + \angle C
∠
A
=
2
π
+
∠
C
, then find the value of
x
x
x
.
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