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In the diagram below, P is a point inside square ABCD.  Find x.

 

 May 7, 2023
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The diagonal of a square is equal to the square's side times the square root of two. 

 

                                         D  =  S * sqrt(2)  

 

So, it follows that the side is equal to the diagonal divided by the square root of two.  

 

                                                     Diagonal  

                                          S  =  ——————  

                                                      sqrt(2)  

 

 

                                                         2  

                                          S  =  ——————   =  sqrt(2)  

                                                      sqrt(2)  

 

.

 May 7, 2023

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