Everyone knows what a triangle is, yet very few people appreciate that the common three-sided figure holds many intriguing secrets. For example, if a circle is inscribed in any random triangle, and then three lines are drawn to connect the points at which the circle intersects the triangle with the vertices of the triangle opposite them, these lines will always meet at a common point—no matter the shape of the triangle. Veteran math educators Alfred S. Posamentier and Ingmar Lehmann reveal this and many more interesting geometrical properties in this entertaining and illuminating book about geometry. Flying in the face of the common impression that mathematics is usually dry and intimidating, The Secrets of Triangles
proves that this sometimes-daunting, abstract discipline can be both fun and intellectually stimulating.
Authors Posamentier and Lehmann explore the multitude of surprising relationships connected with triangles and show some clever approaches to constructing triangles using a straightedge and a compass. Readers will learn how they can improve their problem-solving skills by performing these triangle constructions. The lines, points, and circles related to triangles harbor countless surprising relationships that are presented here in a very engaging fashion.
Requiring no more than a knowledge of high-school mathematics, and written in clear and accessible language, The Secrets of Triangles will give lay readers new insights into some of the most enjoyable and fascinating aspects of geometry.