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A rectangular sheet PQRS is such that PQ = 6 and QR = 8.  It is folded so that corner P goes to corner R.  Find the length of the crease.

 Jun 17, 2020
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A rectangular sheet PQRS is such that PQ = 6 and QR = 8.  It is folded so that corner P goes to corner R. 

Find the length of the crease.

 

\(\begin{array}{|rclrclrcl|} \hline \tan(\psi) &=& \dfrac{6}{8} & &=& & \tan(\psi) &=& \dfrac{x}{\sqrt{6^2+8^2}} \\\\ && &\dfrac{6}{8} &=& \dfrac{x}{\sqrt{6^2+8^2}} \\\\ && &\dfrac{6}{8} &=& \dfrac{x}{10} \\\\ && & x &=& \dfrac{6*10}{8} \\\\ && & x &=& \dfrac{60}{8} \\\\ &&& \mathbf{x} &=& \mathbf{7.5 } \\ \hline \end{array}\)

 

The length of the crease is \(\mathbf{7.5 }\)

 

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 Jun 18, 2020

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