How to proof some properties of rectangles

[A dummy progression]

how to demonstrate that the sum of the squares of the distances from any point M of the plane to two opposite vertices of a rectangle ABCD is equal to the sum of the squares of the distances from this point to the other two.

 

[The Highlander]

how to demonstrate that the sum of the squares of the distances from any point M of the plane to two opposite vertices of a rectangle ABCD is equal to the sum of the squares of the distances from this point to the other two.

I suspect you may have copied the question not quite correctly/completely but have a Google for "The British Flag Theorem" and see if that helps.

 

[A dummy progression]

I suspect you may have copied the question not quite correctly/completely but have a Google for "The British Flag Theorem" and see if that helps.

Thank you . I found an answer

 

[Dr.Peterson]

how to demonstrate that the sum of the squares of the distances from any point M of the plane to two opposite vertices of a rectangle ABCD is equal to the sum of the squares of the distances from this point to the other two.

See here:

Rectangle and Triangles

ABCD is a rectangle with the following lengths: AP=40, BP=24, CP=60. Find the length of DP. I found this interesting old thread that was unanswered. I don't think there's enough information to solve. Thoughts?

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