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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.
ISSN: 0025-570X
DOI: 10.4169/math.mag.88.5.360
Source: Mathematics Magazine [ISSN 0025-570X], v. 88 (5), p. 360-361
Appears in Collections:Artículos
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