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2021 Geo Div 1 P4 (Div 2 P8)

Source:

March 2, 2021
geometry

Problem Statement

Let ABCDEFABCDEF be an equilateral heaxagon such that △ACE≅△DFB\triangle ACE \cong \triangle DFB. Given that AC=7AC = 7, CE=8CE=8, and EA=9EA=9, what is the side length of this hexagon?
Proposed by Thomas Lam
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