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Rectangle $ABCD$ contains a point $X$ such that $AX = 3$, $BX = 3$, and $CX = 3$. Find $DX$.

 Jun 22, 2024
 #1
avatar+129895 
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British Flag Theorem

 

AX^2 +CX^2 =BX^2 + DX^2

 

3^2 + 3^2  = 3^2 + DX^2

 

18  = 3^2  + DX^2

 

18 - 9  = DX^2

 

DX^2 =9

 

DX = 3

 

 

cool cool cool

 Jun 22, 2024

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