MathDB
1998 Putnam B2

Source:

April 19, 2013
Putnamgeometryperimetergeometric transformationreflectionanalytic geometrycollege contests

Problem Statement

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.
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