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Consider the following diagram.  What are the lengths of AE and CE?

 

 Jul 5, 2021
 #1
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Right triangle with two equal legs   (because the other two angles are each 45 degrees)

   so   AE = CE

 

pythag theorem

   s^2 + s^2 = 1^2

     2 s^2 = 1

         s^2 = 1/2

 

 s = AE =CE =   sqrt (2) /2

 Jul 5, 2021
 #2
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AE = CE = 1/10(√50)

 Jul 5, 2021

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