1993 AIME Problems/Problem 12
Problem
The vertices of are
,
, and
. The six faces of a die are labeled with two
's, two
's, and two
's. Point
is chosen in the interior of
, and points
,
,
are generated by rolling the die repeatedly and applying the rule: If the die shows label
, where
, and
is the most recently obtained point, then
is the midpoint of
. Given that
, what is
?
Solution
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See also
1993 AIME (Problems • Answer Key • Resources) | ||
Preceded by Problem 11 |
Followed by Problem 13 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 | ||
All AIME Problems and Solutions |