2021 April MIMC 10 Problems/Problem 22
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In the diagram, is a square with area
.
is a diagonal of square
. Square
has area
. Given that point
bisects line segment
, and
is a line segment. Extend
to meet diagonal
and mark the intersection point
. In addition,
is drawn so that
.
can be represented as
where
are not necessarily distinct integers. Given that
, and
does not have a perfect square factor. Find
.
Solution
To be Released on April 26th.