In the convex quadrilateral $K L M N$, points $E, F, G, H$ are the midpoints of sides $K L, L M, M N$, $N K$ respectively. The area of quadrilateral $E F G H$ is $Q$, $\angle H E F=30^{\circ}$, $\angle E F H=90^{\circ}$. Find the diagonals of quadrilateral $KLMN$.
The midpoints of the sides of any quadrilateral are the vertices of a parallelogram.

## Otvet

$2 \sqrt{3 Q}, \frac{4}{3} \sqrt{3 Q}$