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MathNet 2016-part-07 — 182 problems (EN–VI) Question 12

Math Olympiad Vault · MathNet 2016-part-07 — 182 problems (EN–VI)

Question 12

In a triangle $ABC$ with sides $BC \gt AC \gt AB$, consider the angles between the height and median, being built from one top. Find out, on which top this angle is the largest of the three.