1978 AHSME Problems/Problem 23
Problem
[asy] size(100); draw((0,0)--(1,0)--(1,1)--(0,1)--cycle); draw((0,1)--(1,0)); draw((0,0)--(.5,sqrt(3)/2)--(1,0)); label("",(0,0),SW); label("
",(1,0),SE); label("
",(1,1),NE); label("
",(0,1),NW); label("
",(.5,sqrt(3)/2),E); label("
",intersectionpoint((0,0)--(.5,sqrt(3)/2),(0,1)--(1,0)),2W); //Credit to chezbgone2 for the diagram [/asy]
Vertex
of equilateral
is in the interior of square
, and
is the point of intersection of diagonal
and line segment
. If length
is
then the area of
is
Solution
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