What is the Maximum Distance in a 300x300 Square?

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Museigen
Six points have to be the maximum distance from each other within or on the sides of the square, what is the distance?
 
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This is my first foray into the brain teasers on this forum, and after a little thought I came to the distance of
173.205
Any luck?
 
I've found a little different value:
600-300*sqrt[2] ~ 175.736