olymmath

IGO 2019 E5

  • Elementary

For a convex polygon (i.e. all angles less than 180∘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

Dataset text AI-MO AoPS. Quoted with source.

Solutions

No solution is on olymmath yet. Official and human solutions come first when they arrive. AI solutions come after them, with a label.

Add a solution

Similar problems

These problems have the most words in common with this statement.

Locator igo/2019/e5 · Tag GJPHX9EC6Q · Edit this page on GitHub · Keys: j next, k previous