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Research Article Open access CC BY 4.0

Relations between Various Magnitudes Which Serve as Signs of a Right-angled Triangle

Moshe Stupel, Avi Sigler

Journal of Advances in Mathematics and Computer Science · pp. 1–7 · Published 27 Jan 2018

10.9734/JAMCS/2018/38654

Abstract

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.

Relations between magnitudes in a right-angled triangle dynamic investigation in a right-angled triangle.

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