[Isosceles, Inscribed, and Circumscribed Trapezoids] [Auxiliary Similar Triangles]

A circle with radius 4 is inscribed in an isosceles trapezoid, the smaller base of which is 4.

Find the distance between the points where the circle touches the lateral sides of the trapezoid.
By drawing the midline of the trapezoid, we get a problem analogous to problem $\underline{53181 .}$

## Answer

6.4 .