Problem 353. Tangential quadrilateral, Diagonals, Incircles, Inradii.
Level: High School, College, SAT Prep.
The figure shows a tangential
quadrilateral ABCD. Diagonals AC and BD meet at E. If r_{1},
r_{2}, r_{3}, and r_{4}, are the radii
of the incircles of triangles ABE, BCE, CDE, and ADE, prove that
.

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