AoPS Wiki:Problem of the Day/June 11, 2011
< AoPS Wiki:Problem of the Day
Revision as of 23:17, 7 June 2011 by Btilm305 (talk | contribs) (Protected "AoPSWiki:Problem of the Day/June 11, 2011": Problem of the Day ([edit=sysop] (indefinite) [move=sysop] (indefinite)))
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.