This website contains problems from math contests. Problems and corresponding tags were obtained from the Art of Problem Solving website.

Tags were heavily modified to better represent problems.

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Found problems: 77

1999 French Mathematical Olympiad, Problem 5
Tags: geometry , Triangles
Prove that the points symmetric to the vertices of a triangle with respect to the opposite side are collinear if and only if the distance from the orthocenter to the circumcenter is twice the circumradius.

1999 French Mathematical Olympiad, Problem 3
Tags: ratio , geometry , Triangles , inradius , Geometric Inequalities
For which acute-angled triangles is the ratio of the smallest side to the inradius the maximum?