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Mathematics
Mathematics
Problem
An equilateral
△
O
A
B
\triangle OAB
△
O
A
B
is inscribed in the parabola
y
2
=
4
a
x
y^{2} = 4ax
y
2
=
4
a
x
such that vertex
O
O
O
is at the origin. If the vertices
A
A
A
and
B
B
B
lie on the parabola, determine the side length of the
△
i
n
\triangle in
△
in
terms of
a
a
a
.
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