MathDB
Minimal possible value for diagonal of inscribed rectangle

Source: Macedonian TST for IMO 2013 - P2 day 2

March 28, 2021
geometryInequalityrectangle

Problem Statement

Let ABCABC be a triangle with given sides a,b,ca,b,c. Determine the minimal possible length of the diagonal of an inscribed rectangle in this triangle.
Note: A rectangle is inscribed in the triangle if two of its consecutive vertices lie on one side of the triangle, while the other two vertices lie on the other two sides of the triangle.
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