Quadrilateral \(ABCD\) is an isosceles trapezoid, with bases \(AB\) and \(CD \) A circle is inscribed in the trapezoid, as shown below. (In other words, the circle is tangent to all the sides of the trapezoid.) The length of base \(\overline{AB} = 2x\) is and the length of base \(\overline{CD} = 2y\) is Prove that the radius of the inscribed circle is \(\sqrt{xy}\)
