Difference between revisions of "AoPS Wiki:Problem of the Day/June 11, 2011"
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Latest revision as of 23:17, 7 June 2011
Consider the unit square . Let points
and
be the midpoints of sides
and
respectfully. Then, segments
and
intersect at point
. Points
and
are the midpoints of
and
also respectfully. Draw triangles
,
,
, and
. Points
,
,
, and
fold up to form the apex of a square pyramid with base
. Find the area of the square pyramid.