Elementary Geometry for College Students (7th Edition)

Published by Cengage
ISBN 10: 978-1-337-61408-5
ISBN 13: 978-1-33761-408-5

Chapter 4 - Section 4.1 - Properties of a Parallelogram - Exercises - Page 190: 44


We consider a rectangle. where the sides are a, b, c, and d and where the diagonals are A and B. Thus, we obtain: $A^2 = a^2 + b^2 $ And: $B^2 = c^2 + d^2 $ Adding these gives: $ A^2 + B^2 = a^2 + b^2 +c^2 + d^2$ Thus, the proof is completed.
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