MathDB
Convex pentagon with consecutive integer lengths

Source: INMO Problem 4

January 15, 2017
geometry

Problem Statement

Let ABCDEABCDE be a convex pentagon in which ∠A=∠B=∠C=∠D=120∘\angle{A}=\angle{B}=\angle{C}=\angle{D}=120^{\circ} and the side lengths are five consecutive integers in some order. Find all possible values of AB+BC+CDAB+BC+CD.
Back to ProblemsView on AoPS