MathDB

3

Part of 2014 Estonia Team Selection Test

Problems(1)

maximum area of the convex hull of a figure by 3 line segments

Source: Estonia IMO TST 2014 p3

4/5/2020
Three line segments, all of length 11, form a connected figure in the plane. Any two different line segments can intersect only at their endpoints. Find the maximum area of the convex hull of the figure.
maxareainequalitiesalgebra