MathDB

10-11.7

Part of 2018 239 Open Mathematical Olympiad

Problems(1)

239 Open MO, 2018, Senior League, Problem 7

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

4/4/2023
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
geometryGeometry inequality