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2014 ASDAN Math Tournament
8
2014 Team #8
2014 Team #8
Source:
July 1, 2022
2014
team test
Problem Statement
Equilateral triangle
D
E
F
DEF
D
EF
is inscribed inside equilateral triangle
A
B
C
ABC
A
BC
such that
D
E
DE
D
E
is perpendicular to
B
C
BC
BC
. Let
x
x
x
be the area of triangle
A
B
C
ABC
A
BC
and
y
y
y
be the area of triangle
D
E
F
DEF
D
EF
. Compute
x
y
\tfrac{x}{y}
y
x
.
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