The figure on the right shows the top left-hand corner of the complete diagram. Note the symmetry which leads to the three measurements of
1
2

. Thus the diagonal of the square can be divided into three portions of lengths:


1
2

, x and
1
2

respectively.

The length of the diagonal
=   ________
Ö102 + 102
 
=   ___
Ö200
 
= 10 Ö2

.

So x = 10Ö2 - 1.