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equilateral on 3 concentric cicles or fadii 1,2,3 - scent of classic

Source: 2013 VWO Flanders MO p4

August 7, 2020
geometryconcentric circlesconcentricEquilateral

Problem Statement

Consider (in the plane) three concentric circles with radii 1,21, 2 and 33 and equilateral triangle Δ\Delta such that on each of the three circles is one vertex of Δ\Delta . Calculate the length of the side of Δ\Delta . https://1.bp.blogspot.com/-q40dl3TSQqE/Xy1QAcno_9I/AAAAAAAAMR8/11nsSA0syNAaGb3W7weTHsNpBeGQZXnHACLcBGAsYHQ/s0/flanders%2B2013%2Bp4.png
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