You are given the cyclic quadrilateral ABCD. Show that if the diagonals AC and BD have the same length, then a pair of opposite sides of the quadrilateral have the same length (although a different length to the diagonals).

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
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You are given the cyclic quadrilateral ABCD.

Show that if the diagonals AC and BD have the same length, then a pair of opposite sides of the quadrilateral have the same length (although a different length to the diagonals).

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