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ABCD is a square and E is the intersection point of the diagonals. If N is any point on AE, show that (i) AB² - BN2 = AN-NC; (ii) AN² + NC² = 2 BN² B N C E D

ABCD is a square and E is the intersection point of the diagonals. If N is any point on AE, show that (i) AB² - BN2 = AN-NC; (ii) AN² + NC² = 2 BN² B N C E D

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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ABCD is a square and E is the intersection point of the diagonals. If N is any point on AE, show that (i) AB² BN² = AN NC; (ii) AN² + NC² = 2 BN² - N E с D
Transcribed Image Text:ABCD is a square and E is the intersection point of the diagonals. If N is any point on AE, show that (i) AB² BN² = AN NC; (ii) AN² + NC² = 2 BN² - N E с D
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