Circles

Geometry Level pending

In a quadrilateral PQRS, X is a point on QR and Y is a point on PS. One circle touches all four sides of the quadrilateral PQXY, and another circle touches all four sides of XRSY. If PQ = 10cm, QR = 20cm RS = 14 cm an PS = 26cm, what is the length, in centimeters, of XY?

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