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1994 AIME Problems/Problem 15

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Problem

Given a point on a triangular piece of paper consider the creases that are formed in the paper when and are folded onto Let us call a fold point of if these creases, which number three unless is one of the vertices, do not intersect. Suppose that and Then the area of the set of all fold points of can be written in the form where and are positive integers and is not divisible by the square of any prime. What is ?

Solution

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See also

1994 AIME (ProblemsResources)
Preceded by
Problem 14
Followed by
Last question
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