For the cyclic quadrilateral MNPQ, the sides have lengths a, b, c, and d. If a2 + b2 = c2 + d2 explain why the area of the quadrilateral is A = (ab + cd)/2

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.3: Informal Geometry And Measurement
Problem 32E: In the rectangle shown, what is true of the lengths of each pair of opposite sides?
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For the cyclic quadrilateral MNPQ, the sides have lengths a,
b, c, and d. If a2 + b2 = c2 + d2 explain why the area of 
the quadrilateral is A = (ab + cd)/2

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