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2013a.00610 Srinivasan, V. K. The characterizations of triangles using the nine-point circles. Int. J. Math. Educ. Sci. Technol. 43, No. 7, 972-982 (2012). 2012 Taylor \& Francis, Abingdon, Oxon EN G44 Pythagorean theorem circumcircles nine-point circle orthocentre

doi:10.1080/0020739X.2011.644334

Summary: 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.