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Mathematics
Mathematics
Problem
A triangle
△
A
B
C
\triangle ABC
△
A
B
C
is inscribed in the circle
x
2
+
y
2
=
64
x^{2} + y^{2} = 64
x
2
+
y
2
=
64
. The side
B
C
BC
B
C
is formed by the line
y
=
4
y = 4
y
=
4
. If vertex
A
A
A
is at the highest point of the circle (
y
y
y
-intercept
>
0
> 0
>
0
), calculate the area of triangle
△
A
B
C
\triangle ABC
△
A
B
C
.
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