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

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

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.2: Perimeter And Area Of Polygons
Problem 56E: For the cyclic quadrilateral MNPQ, the sides have lengths a, b, c, and d. If a2+b2=c2+d2, explain...
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For the cyclic quadrilateral MNPQ, the sides have lengths a, b, c, and d. If a² + b² = c² + d², prove ab+cd that the area of the quadrilateral is A = 2
Transcribed Image Text:For the cyclic quadrilateral MNPQ, the sides have lengths a, b, c, and d. If a² + b² = c² + d², prove ab+cd that the area of the quadrilateral is A = 2
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