**Inscribed Trapezoids**

Two trapezoids are inscribed in the same circle.

One has sides (1, 1, 1, x)

The other has sides (x,x,x,1)

What is the diameter of the circle?

Hint: Try exploring how to construct the two inscribed trapezoids by using GSP or Geogebra.

Is there more than one possible construction with different size circles?

Reference: Problem Section: * School Science and Mathematics*, Vol 111, No. 3, March 2011, Problem 5153.