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5 circles in a square part 2 (Posted on 2019-09-08) Difficulty: 3 of 5
Given square ABCD with E on AB, F on BC, G on CD, H on DA, AE=BF=CG=DH. Segments AF, BG, CH, DE dissect the square into 4 triangles, 4 trapezoids and a central square.

If the circle inscribed in the square has the same radius as the incircles of the triangles, find AE/AB.

Note: exact solution is the solution to a cubic equation.

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  Subject Author Date
SolutionSolutionBrian Smith2019-09-09 10:59:44
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