7. Let ABCD be a cyclic quadrilateral such that sides AB and DC are perpendicular as shown. Let a, b, c, d be the lengths of sides AB, BC, CD, DA, respectively. Prove that (ab + cd)² + (ad + bc)² = (b²-d²)². D

7. Let ABCD be a cyclic quadrilateral such that sides AB and DC are perpendicular as shown. Let a, b, c, d be the lengths of sides AB, BC, CD, DA, respectively. Prove that (ab + cd)² + (ad + bc)² = (b²-d²)². D

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

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

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

Chapter4: Quadrilaterals

Section4.3: The Rectangle, Square, And Rhombus

Problem 28E: Which types of quadrilaterals is are necessarily cyclic? a A kite b A rectangle

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7. Let ABCD be a cyclic quadrilateral such that sides AB
and DC are perpendicular as shown. Let a, b, c, d be the
lengths of sides AB, BC, CD, DA, respectively. Prove
that (ab+cd)2 + (ad + bc)² = (b²-d²)².

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