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25
2016 LMT Individual #25
2016 LMT Individual #25
Source:
April 10, 2016
Problem Statement
Let
A
B
C
D
ABCD
A
BC
D
be a trapezoid with
A
B
∥
D
C
AB\parallel DC
A
B
∥
D
C
. Let
M
M
M
be the midpoint of
C
D
CD
C
D
. If
A
D
⊥
C
D
,
A
C
⊥
B
M
,
AD\perp CD, AC\perp BM,
A
D
⊥
C
D
,
A
C
⊥
BM
,
and
B
C
⊥
B
D
BC\perp BD
BC
⊥
B
D
, find
A
B
C
D
\frac{AB}{CD}
C
D
A
B
.Proposed by Nathan Ramesh
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