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# Geometry is hard

Let $$ABCDE$$ be a convex pentagon in which $$\angle A = \angle B = \angle C = \angle D = 120^\circ$$ and side lengths are five consecutive integers in some order. Find all the possible values of $$AB + BC + CD$$.

Note by Raj Mantri
1 month ago

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This is from INMO 2017 · 4 weeks ago