What is the Maximum Distance in a 300x300 Square?

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The discussion revolves around determining the maximum distance between six points located within or on the sides of a square. Participants are analyzing the geometry of the situation to find the optimal arrangement of points that maximizes their separation. Initial calculations suggest a specific distance, but there is a divergence in values as different participants propose alternative solutions. The conversation highlights the complexity of spatial arrangements and the challenge of achieving the maximum distance in this geometric configuration.
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
 

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