|Title:||The parallelogram with maximum perimeter for given diagonals is the rhombus—a proof without words and a corollary||Authors:||Plaza, Angel||UNESCO Clasification:||12 Matemáticas||Issue Date:||2015||Journal:||Mathematics Magazine||Abstract:||By the Law of Cosines and the arithmetic mean-root mean square inequality it is proved without words that The Parallelogram with Maximum Perimeter for given Diagonals is the Rhombus. As a corollary it also proved that for two positive numbers, their arithmetic mean is greater or equal than the arithmetic mean of their geometric mean and their root mean square.||URI:||http://hdl.handle.net/10553/51603||ISSN:||0025-570X||DOI:||10.4169/math.mag.88.5.360||Source:||Mathematics Magazine [ISSN 0025-570X], v. 88 (5), p. 360-361|
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