A quadrilateral inscribed in a unit circle has sides of lengths
s1, s2, s3 and s4
where s1 ≤ s2 ≤ s3 ≤ s4.
Find a quadrilateral of this type for which s1=√2 and
show s1 cannot be greater than √2. Find a
quadrilateral of this type for which s2 ≅ √3and show
that s2 is always less than √3.
Find a quadrilateral of this type for which s3 ≅ 2
and show that s2 is always less than 2.
Find a quadrilateral of this type for which s4=2 and
show that s4 cannot be greater than 2.