Mathematics, 19.10.2020 06:01 daniel2humnle

Please help explain this. I've tried really hard but I'm still confused. I have to finish this soon and I really need help with this. Thank you so much. 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 $\sqrt{xy}$ .

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Please help explain this. I've tried really hard but I'm still confused. I have to finish this soon...

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