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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. 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

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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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.
Transcribed Image Text: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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