TOT 070 1984 Autumn Train J4 rectangle inscribed in quadrilateral, ineq.
Source:
August 24, 2019
geometryrectangleperimetergeometric inequalitydiagonalinscribed
Problem Statement
Inside a rectangle is inscribed a quadrilateral, which has a vertex on each side of the rectangle. Prove that the perimeter of the inscribed quadrilateral is not smaller than double the length of a diagonal of the rectangle. (V. V . Proizvolov , Moscow)