An unusual proof of the centroid theorem
Venkatasubban, Rajatadri (2019) An unusual proof of the centroid theorem. At Right Angles (5). pp. 3436. ISSN 25821873

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Abstract
In this article, I present an unusual proof of the Centroid Theorem. (The theorem states: For any triangle, the three medians meet in a point. Moreover, the common point of intersection is a point of trisection of each median.) The standard methods (see [3], pg 65 for a much shorter proof that uses the same base results as this one, or [1], pg 7 for one that uses Ceva’s theorem) require nothing but elementary geometry. Another vectorbased approach (see [2], pg 19) also exists. This one, however, makes use of an infinite geometric progression to achieve its result.
Item Type:  Articles in APF Magazines 

Uncontrolled Keywords:  Median, centroid theorem, Ceva’s theorem, vector, infinite geometric series 
Subjects:  Natural Sciences > Mathematics 
Divisions:  Azim Premji University > University publications > At Right Angles 
Depositing User:  Mr. Sachin Tirlapur 
Date Deposited:  17 Dec 2019 14:44 
Last Modified:  17 Dec 2019 14:44 
URI:  http://publications.azimpremjifoundation.org/id/eprint/2132 
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