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Let PQRS be a square with side length 10. The points X and Y lie outside the square such that XQ = 6, XP = 8, YS = 6, and YR = 8. Find XY^2.

 May 15, 2020
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Let PQRS be a square with side length 10.
The points X and Y lie outside the square such that XQ = 6, XP = 8, YS = 6, and YR = 8.
Find \(XY^2\).

\(\begin{array}{|rcll|} \hline XY^2 &=& (6+8)^2 + (6+8)^2 \\ XY^2 &=& 2(6+8)^2 \\ XY^2 &=& 2(14)^2 \\ \mathbf{XY^2} &=& \mathbf{392} \\ \hline \end{array}\)

 

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 May 15, 2020

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