Geometry and Trigonometry

  • Titu AndreescuEmail author
  • Bogdan Enescu


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
$$AC+BC\geq AB$$
with equality if and only if C lies on the line segment AB. Many interesting problems can be solved using this simple idea.


Triangle Equiangular Polygon Angle Bisector Arbitrary Convex Polygon Quadrilateral ABC 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer Science+Business Media, LLC 2011

Authors and Affiliations

  1. 1.School of Natural Sciences and MathematicsUniversity of Texas at DallasRichardsonUSA
  2. 2.Department of Mathematics“BP Hasdeu” National CollegeBuzauRomania

Personalised recommendations