Stupel, Moshe and Sigler, Avi
(2019)
*Relations between Various Magnitudes Which Serve as Signs
of a Right-angled Triangle.*
In:
Advances in Mathematics and Computer Science Vol. 2.
B P International, pp. 48-54.
ISBN 978-93-89562-01-9

## Abstract

Relations between different magnitudes in a triangle, such as the radius of the circumcircle of the triangle, the

radius of the incircle of the triangle, the radii of the excircles the triangle (which are tangent to one side from the

outside and the continuations of the two other sides), as well as their relations with the side lengths the triangle

and certain segments in the triangle, are a fascinating subject. We present a proven scheme of 15 relations

between the sides of a triangle, the radii of incircles and excircles of the triangle, the area and half the perimeter

of the triangle, which serve as signs of a right-angled triangle, together with the 16th relation which is the

Pythagorean Theorem. The relations are investigated dynamically using the computerized software.

Item Type: | Book Section |
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Subjects: | Eprint Open STM Press > Computer Science |

Depositing User: | Unnamed user with email admin@eprint.openstmpress.com |

Date Deposited: | 17 Nov 2023 04:22 |

Last Modified: | 17 Nov 2023 04:22 |

URI: | http://library.go4manusub.com/id/eprint/1711 |