Point in a square

Let a square ABCD and a point P inside the square.
Given PA=19, PB=29, PC=23
Find distance PD. Solution
Find the side of the square. Solution
Geometric construction and discuss with values of a,b,c,d.

What is the smallest square for which there is an inside point with integral distances, not all equal, to the vertices ?
Solution       (If distances may be equal, it is obvious)

Details

 

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