Tessellate S.T.E.M.S (2019) - Mathematics - Category B - Set 3 - Objective Problem 1

A rectangle $HOMF$ , has sides $HO = 11$ and $OM = 5$ . A triangle $ABC$ has $H$ as the orthocenter , $O$ ,circumcenter and $M$ the midpoint of $BC$ , and $F$ the foot of the altitude from $A$ . What is the length of $BC$ ?

This problem is a part of Tessellate S.T.E.M.S. (2019)