28.2. Among all triangles for which the sum of the medians is 3, find the triangle with the greatest sum of altitudes.

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28.2. In any triangle, the height dropped to any side is not greater than the median drawn to the same side. Therefore, the sum of the heights of the triangle is not greater than the sum of its medians. In the conditions of this problem, the greatest sum of heights is 3, which will be the case for an equilateral triangle.