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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 17E
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Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fdeceabaa-7a16-47f7-ae39-f7a8bb9184a5%2F51172d4e-f394-4d52-85fa-aa2c7df0b200%2Fnukcxs_processed.jpeg&w=3840&q=75)
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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