MathDB
Equiangular Hexagons are not Tangential

Source: 2018 AIME I #8

March 7, 2018
AMCAIMEAIME I

Problem Statement

Let ABCDEFABCDEF be an equiangular hexagon such that AB=6,BC=8,CD=10AB=6, BC=8, CD=10, and DE=12DE=12. Denote dd the diameter of the largest circle that fits inside the hexagon. Find d2d^2.
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