Difference between revisions of "2009 AIME I Problems/Problem 5"
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== Solution == | == Solution == | ||
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== See also == | == See also == | ||
{{AIME box|year=2009|n=I|num-b=4|num-a=6}} | {{AIME box|year=2009|n=I|num-b=4|num-a=6}} |
Revision as of 22:06, 20 March 2009
Problem
Triangle has
and
. Points
and
are located on
and
respectively so that
, and
is the angle bisector of angle
. Let
be the point of intersection of
and
, and let
be the point on line
for which
is the midpoint of
. If
, find
.
Solution
See also
2009 AIME I (Problems • Answer Key • Resources) | ||
Preceded by Problem 4 |
Followed by Problem 6 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
All AIME Problems and Solutions |