File:Pythagoras for scalene triangle.PNG

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Pythagoras_for_scalene_triangle.PNG ‎(442 × 338 pixels, file size: 37 KB, MIME type: image/png)

Summary

Generalization of Pythagoras's theorem to scalene triangle. Arrowhead joins intersection of lines parallel to sides to the corner of the triangle. This vector forms the two sides of the bottom parallelogram. The red area is the same as the sum of the green areas, as shown by George Jennings () "Figure 1.32: The generalized Pythagorean theorem" in <a rel="nofollow" class="external text" href="http://books.google.com/books?id=6OhcE7YQY8QC&pg=PA23">Modern geometry with applications: with 150 figures</a> (3rd ed.), Springer, p. 23 <a href="https://en.wikipedia.org/wiki/International_Standard_Book_Number" class="extiw" title="en:International Standard Book Number">ISBN</a>: <a href="//commons.wikimedia.org/wiki/Special:BookSources/038794222X" title="Special:BookSources/038794222X">038794222X</a>.

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Date/TimeThumbnailDimensionsUserComment
current14:11, 9 January 2017Thumbnail for version as of 14:11, 9 January 2017442 × 338 (37 KB)127.0.0.1 (talk)Generalization of Pythagoras's theorem to scalene triangle. Arrowhead joins intersection of lines parallel to sides to the corner of the triangle. This vector forms the two sides of the bottom parallelogram. The red area is the same as the sum of the green areas, as shown by <cite class="book" style="font-style:normal">George Jennings (<span style="white-space:nowrap"><time class="dtstart" datetime="1997">1997</time></span>) "Figure 1.32: The generalized Pythagorean theorem" in <i> <a rel="nofollow" class="external text" href="http://books.google.com/books?id=6OhcE7YQY8QC&pg=PA23">Modern geometry with applications: with 150 figures</a></i> (3<sup>rd</sup> ed.), Springer, p. 23 <small><a href="https://en.wikipedia.org/wiki/International_Standard_Book_Number" class="extiw" title="en:International Standard Book Number">ISBN</a>: <a href="//commons.wikimedia.org/wiki/Special:BookSources/038794222X" title="Special:BookSources/038794222X">038794222X</a>. </small></cite>
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