Geometric Inequalities : Methods of Proving Theorem on the Length of the Broken Line Application of Projection Method Areas Application of Trigonometric Inequalities Inequalities for Radiuses Miscellaneous Inequalities Some Applications of Geometric Inequalities This unique collection of new and classical problems provides full coverage of geometric inequalities. Many of the 1 000 exercises are presented with detailed author prepared solutions developing creativity and an arsenal of new approaches for solving mathematical problems. This book can serve teachers high school students and mathematical competitors. It may also be used as supplemental reading providing readers with new and classical methods for proving geometric inequalities