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Difference between revisions of "Heron triangle"

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A triangle the lengths of the sides and the surface area of which are expressible by integers. Named after Heron (1st century A.D.), who studied triangles with side lengths <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/h/h047/h047130/h0471301.png" /> and <img align="absmiddle" border="0" src="https://www.encyclopediaofmath.org/legacyimages/h/h047/h047130/h0471302.png" />, the surface areas of which are 84 and 30, respectively.
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A triangle the lengths of the sides and the surface area of which are expressible by integers. Named after Heron (1st century A.D.), who studied triangles with side lengths $13,14,15$ and $5,12,13$, the surface areas of which are 84 and 30, respectively.
  
  

Latest revision as of 12:08, 13 August 2014

A triangle the lengths of the sides and the surface area of which are expressible by integers. Named after Heron (1st century A.D.), who studied triangles with side lengths $13,14,15$ and $5,12,13$, the surface areas of which are 84 and 30, respectively.


Comments

The Pythagorean triangles are special cases (cf. Pythagorean numbers).

How to Cite This Entry:
Heron triangle. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Heron_triangle&oldid=32895
This article was adapted from an original article by A.B. Ivanov (originator), which appeared in Encyclopedia of Mathematics - ISBN 1402006098. See original article