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6
6
Part of
2014 Stanford Mathematics Tournament
Problems
(1)
SMT RMT 2014 Geometry #6
Source:
10/28/2022
Let
E
E
E
be an ellipse with major axis length
4
4
4
and minor axis length
2
2
2
. Inscribe an equilateral triangle
A
B
C
ABC
A
BC
in
E
E
E
such that
A
A
A
lies on the minor axis and
B
C
BC
BC
is parallel to the major axis. Compute the area of
△
A
B
C
\vartriangle ABC
△
A
BC
.
geometry