Putnam 1997 A1

Session A

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

Curated text Kedlaya Putnam archive. Quoted with source.

Solutions

Human solution Solution 1 by Manjul Bhargava, Kiran Kedlaya and Lenny Ng

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