Abstract
One of the most basic geometric inequalities is the triangle inequality: in every triangle, the length of one side is less than the sum of the two other sides’ lengths. More generally, for any three points A,B,C one has
with equality if and only if C lies on the line segment AB. Many interesting problems can be solved using this simple idea.
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© 2011 Springer Science+Business Media, LLC
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Andreescu, T., Enescu, B. (2011). Geometry and Trigonometry. In: Mathematical Olympiad Treasures. Birkhäuser, Boston, MA. https://doi.org/10.1007/978-0-8176-8253-8_2
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DOI: https://doi.org/10.1007/978-0-8176-8253-8_2
Publisher Name: Birkhäuser, Boston, MA
Print ISBN: 978-0-8176-8252-1
Online ISBN: 978-0-8176-8253-8
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