Chapter 3.5, Problem 34E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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*In Exercises 31 to 34, apply a form of Theorem 3.5.10.*

Prove by the indirect method: “The length of a diagonal of a square is not equal in length to the length of any of the sides of the square.” |

To determine

**To prove:**

The length of a diagonal of a square is not equal in length to the length of any of the sides of the square.

Explanation

**Given:**

The square

Figure

**Approach:**

The length of any side of a triangle must lie between the sum and difference of the lengths of the other two sides.

Assume, the length of all the sides of the square is

Consider the triangle

The length of the two sides of the triangle

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