MathDB
Geometry / Cyclic Quadilateral

Source:

August 11, 2019
geometrycyclic quadrilateral

Problem Statement

Let ABCDABCD be a convex cyclic quadilateral. Suppose PP is a point in the plane of the quadilateral such that the sum of its distances from the vertices of ABCDABCD is the least. If {PC,PB,PC,PD}={3,4,6,8}\{PC, PB, PC, PD\} = \{3, 4, 6, 8\}, what is the maxumum possible area of ABCDABCD?
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