The characterizations of triangles using the nine-point circles |
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| Authors: | VK Srinivasan |
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| Institution: | 1. Department of Mathematical Sciences , The University of Texas at El Paso , El Paso , TX 79968-0514 , USA vilappakkam@yahoo.com |
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| Abstract: | In this note, primarily intended for high school students and high school teachers, characterizations of a right triangle and an equilateral triangle in the Euclidean plane are presented using the nine-point circle of a given triangle. Geometrical applications are explored along with their possible uses in the teaching environment. |
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| Keywords: | Pythagorean theorem circumcircle nine-point circle the orthocentre |
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