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Teaching Mathematics and Computer Science

Vol. 5 No. 1 (2007)
Articles

The sum and difference of the areas of Napoleon triangles

Published:
2007-06-01
DOI Linkhttps://doi.org/10.5485/TMCS.2007.0145
Author
Sándor Kiss
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Keywords
outer Napoleon triangle inner Napoleon triangle
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Copyright (c) 2007 Sándor Kiss

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This work is licensed under a Creative Commons Attribution 4.0 International License.

How To Cite
Selected Style: APA
Kiss, S. (2007). The sum and difference of the areas of Napoleon triangles. Teaching Mathematics and Computer Science, 5(1), 99-108. https://doi.org/10.5485/TMCS.2007.0145
Abstract
The sum of the areas of the Napoleon triangles is the average of the areas of the three outward equilateral triangles on the sides of triangle ABC, and the differerence of these areas is the area of triangle ABC. In this paper we examine how to change these properties if we build on the sides of the triangle ABC, outwards and inwards, three similar triangles.