MathDB

Let

ABC

be an equilateral triangle with side length

1

. Points

D

and

E

lie on

\overline{BC}

and

\overline{AC}

respectively such that

\triangle BDE

is right isosceles, while points

F

and

G

lie on

\overline{BC}

and

\overline{AB}

respectively such that

\triangle CFG

is right isosceles. Find the area of the intersection of

\triangle BDE

and

\triangle CFG

.
Proposed by Ishin Shah

4