Putnam 2010 B2

Session B

Given that $A$ , $B$ , and $C$ are noncollinear points in the plane with integer coordinates such that the distances $AB$ , $AC$ , and $BC$ are integers, what is the smallest possible value of $AB$ ?

Curated text Kedlaya Putnam archive. Quoted with source.

Solutions

Human solution Solution 1 by Kiran Kedlaya and Lenny Ng

The terms of the source let olymmath link to this solution but not copy it. Read the solution (Kedlaya Putnam archive).

Locator putnam/2010/b2 · Tag 584T43JQ21 · Edit this page on GitHub · Keys: j next, k previous