olymmath

Putnam 1998 B2

  • Session B

Given a point (a,b)(a,b) with 0<b<a0<b<a, determine the minimum perimeter of a triangle with one vertex at (a,b)(a,b), one on the xx-axis, and one on the line y=xy=x. You may assume that a triangle of minimum perimeter exists.

Curated text Kedlaya Putnam archive. Quoted with source.

Solutions

Human solution Solution 1 by Manjul Bhargava, 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).

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