IMC 2008 — Keystage 3 (IWYMIC) — individual Question 14

Triangle $ABC$ has $\angle ABC=60^\circ$, circumcentre $O$, orthocentre $H$. Points $D\in BC$, $E\in AB$ satisfy $BD=BH$, $BE=BO$. If $BO=1$ cm, find area $BED$ in square cm.