**Problem Statement: Circumscribed Quadrilateral**Quadrilateral $ABCD$ is circumscribed about circle $O$. Given the lengths of the sides: $AB = 13$, $BC = 10$, and $CD = 9$, find the length of side $AD$.**Diagram Explanation:**The diagram shows a quadrilateral $ABCD$ with a circle inscribed inside it. The circle touches each side of the quadrilateral at exactly one point, indicating that the quadrilateral is tangential to the circle at four points. The given side lengths are marked, and the goal is to determine the length of the unknown side $AD$. Note: A key property of circumscribed quadrilaterals is that the sum of the lengths of opposite sides is equal: $AB + CD = BC + DA$. Use this property to find the missing side length.

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Answered: uadrilateral ABCD is circumscribed…

Math

Geometry

uadrilateral ABCD is circumscribed about 0. If AB = 13, BC = 10, and CD = 9 nd the length of side AD.

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

ChapterP: Preliminary Concepts

SectionP.CT: Test

Problem 1CT

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Question

**Problem Statement: Circumscribed Quadrilateral**

Quadrilateral $ABCD$ is circumscribed about circle $O$. Given the lengths of the sides: $AB = 13$, $BC = 10$, and $CD = 9$, find the length of side $AD$.

**Diagram Explanation:**

The diagram shows a quadrilateral $ABCD$ with a circle inscribed inside it. The circle touches each side of the quadrilateral at exactly one point, indicating that the quadrilateral is tangential to the circle at four points. The given side lengths are marked, and the goal is to determine the length of the unknown side $AD$.

Note: A key property of circumscribed quadrilaterals is that the sum of the lengths of opposite sides is equal: $AB + CD = BC + DA$. Use this property to find the missing side length.

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