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11. ABCD is a quadrilateral such that if sides AB and CD are extended they will meet at a right angle. Prove that (AC)² + (BD) = (AD)² + (BC)².

11. ABCD is a quadrilateral such that if sides AB and CD are extended they will meet at a right angle. Prove that (AC)² + (BD) = (AD)² + (BC)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.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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11. ABCD is a quadrilateral such that if sides AB and CD are extended they will meet at a right angle. Prove that (AC)² + (BD) = (AD)² + (BC)².
Transcribed Image Text:11. ABCD is a quadrilateral such that if sides AB and CD are extended they will meet at a right angle. Prove that (AC)² + (BD) = (AD)² + (BC)².
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