Consider the following diagram. What are the lengths of AE and CE?
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
AE = CE = 1/10(√50)
+37159 
