Answered: Prove (via geometry) that the area of a…

Prove (via geometry) that the area of a cyclic quadrilateral is the maximum possible for any quadrilateral with given sid lengths.

Elementary Geometry for College Students

6th Edition

ISBN:9781285195698

Author:Daniel C. Alexander, Geralyn M. Koeberlein

Publisher:Daniel C. Alexander, Geralyn M. Koeberlein

Chapter10: Analytic Geometry

Section10.4: Analytic Proofs

Problem 29E: Would the theorem of Exercise 7 remain true for a concave quadrilateral like the one shown?

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Prove (via geometry) that the area of a cyclic quadrilateral is the maximum possible for any quadrilateral with given side
lengths.

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