Chapter 4.8, Problem 26P

To determine

To prove: width, length, and diagonal of a rectangle cannot be consecutive odd integers.

Explanation of Solution

Given information: width, length, and diagonal of a rectangle be consecutive odd integers.

Proof:

The width, length, and diagonal of a rectangle can never be consecutive odd integers because when you add any two integers together, it will always be even. Since the hypotenuse is always going to stay odd, the even and odd will never be the same.