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The Cuoco Configuration

Roger E. Howe
The American Mathematical Monthly
Vol. 120, No. 10 (December 2013), pp. 916-923
DOI: 10.4169/amer.math.monthly.120.10.916
Stable URL: http://www.jstor.org/stable/10.4169/amer.math.monthly.120.10.916
Page Count: 8
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The Cuoco Configuration
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Abstract

Abstract Following A. Cuoco, a proof of the Law of Cosines is given using squares constructed on sides of the triangle. Then the configuration consisting of the original triangle and the triangle defined by the centers of these squares is studied, and several remarkable relationships are found.

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