2007 AIME I Problems/Problem 15
Problem
Let be an equilateral triangle, and let
and
be points on sides
and
, respectively, with
and
. Point
lies on side
such that angle
. The area of triangle
is
. The two possible values of the length of side
are
, where
and
are rational, and
is an integer not divisible by the square of a prime. Find
.
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Solution
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See also
2007 AIME I (Problems • Answer Key • Resources) | ||
Preceded by Problem 14 |
Followed by Last Question | |
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All AIME Problems and Solutions |