Mock AIME 1 2010 Problems/Problem 13
Problem
Suppose is inscribed in circle
.
and
are the feet of the altitude from
to
and
to
, respectively. Let
be the intersection of lines
and
, let
be the point of intersection of
and line
distinct from
, and let
be the foot of the perpendicular from
to
. Given that
,
, and
, and that
can be expressed in the form
, where
and
are relatively prime positive integers and
is an integer not divisible by the square of any prime, find the last three digits of
.
Solution
.
See Also
Mock AIME 1 2010 (Problems, Source) | ||
Preceded by Problem 12 |
Followed by Problem 14 | |
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