Chapter 10.4, Problem 1E

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6th Edition

Daniel C. Alexander + 1 other

ISBN: 9781285195698

Textbook Problem

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*In Exercises 1 to 17, complete an analytic proof for each theorem.*

The Diagonals of a rectangle are equal in length.

To determine

**To answer:**

The analytic proof for the given theorem “The Diagonals of a rectangle are equal in length”.

Explanation

Given theorem is,

The Diagonals of a rectangle are equal in length.

The above graph shows the rectangle ABCD.

From the theorem the diagonals of the rectangle is equal and express as below,

The coordinates of the figure are

In order to prove “The Diagonals of a rectangle are equal in length”, needed to use distance formula.

Length of the diagonal

Using distance formula for finding length of the diagonal

Where,

Simplifying the above equation,

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