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# Geo Help!!

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Quadrilateral $$ABCD$$ is an isosceles trapezoid, with bases $$\overline{AB}$$ and $$\overline{CD}$$. 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 $$\overline{AB}$$ is $$2x$$ and the length of base $$\overline{CD}$$ is $$2y$$. Prove that the radius of the inscribed circle is $$\sqrt{xy}.$$

HINT: When you have a circle that is tangent to lines, connect the center of the circle to the points of tangency.

Jan 31, 2021

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Here :    https://web2.0calc.com/questions/pls-help_118

Jan 31, 2021
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