MathDB
239 Open MO, 2018, Senior League, Problem 7

Source: 239 Open MO, 2018, Senior League, Problem 7

April 4, 2023
geometryGeometry inequality

Problem Statement

In a triangle, each median forms an angle with the side it is drawn to, which is less than α\alpha. Prove that one of the angles of the triangle is greater than 180∘−43α180^\circ - \frac{4}{3}\alpha.
Proposed by S. Berlov
Back to ProblemsView on AoPS