The Generalised Pythagoras Theorem – Another Proof

DESAI, RANJIT (2020) The Generalised Pythagoras Theorem – Another Proof. At Right Angles (7). pp. 42-43. ISSN 2582-1873

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Abstract

In this short note, we present a proof of the generalised Pythagoras theorem. We use the ‘ordinary’ Pythagoras theorem for the proof. Theorem: In any triangle ABC, we have: AC2 + BC2 > AB2 ⇐⇒ �C < 90◦, AC2 + BC2 < AB2 ⇐⇒ �C > 90◦.

Item Type: Articles in APF Magazines
Authors: DESAI, RANJIT
Document Language:
Language
English
Uncontrolled Keywords: Generalised Pythagoras theorem, Triangle, Sides, Relations, Proof
Subjects: Natural Sciences > Mathematics
Divisions: Azim Premji University > University Publications > At Right Angles
Full Text Status: Public
URI: http://publications.azimpremjifoundation.org/id/eprint/2415
Publisher URL:

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