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2019 IGO Elementary P5

Source: 6th Iranian Geometry Olympiad (Elementary) P5

September 20, 2019
IGOIrangeometrycombinatorics

Problem Statement

For a convex polygon (i.e. all angles less than 180āˆ˜180^\circ) call a diagonal bisector if its bisects both area and perimeter of the polygon. What is the maximum number of bisector diagonals for a convex pentagon?
Proposed by Morteza Saghafian
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