perplexus.info :: Geometry : 3 circles in an isosceles trapezoid

3 circles in an isosceles trapezoid (Posted on 2020-01-10)

Let ABCD be an isosceles trapezoid with bases AB and CD and a height 4r.

Inside the trapezoid are three circles of radius r. Two of the circles touch base AB, are separated by a distance r and touch opposite legs. The third circle touches base CD and both legs.

Find the ratio of the bases AB/CD.

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Posted by Javier Bernard on 2020-01-10 23:07:20

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