## Elementary Geometry for College Students (6th Edition)

Published by Brooks Cole

# Chapter 4 - Section 4.1 - Properties of a Parallelogram - Exercises - Page 178: 44

#### Answer

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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