   Chapter 4.3, Problem 8E Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085

Solutions

Chapter
Section Elementary Geometry For College St...

7th Edition
Alexander + 2 others
ISBN: 9781337614085
Textbook Problem

In Exercises 8 to 10, use the properties of rectangles to solve each problem. Rectangle ABCD is shown in the figure. Exercises 8 - 10 Given: AB = 5 and BC = 12 Find: CD, AD, and AC (not shown)

To determine

To find:

CD, AD, and AC of the given rectangle.

Explanation

The basic property of rectangle:

1) All the properties of a parallelogram apply (the ones that matter here are parallel sides, opposite sides are congruent, and diagonals bisect each other).

2) All angles are right angles by definition.

3) The diagonals are congruent.

Calculation:

Given: AB = 5 and BC = 12

Consider the rectangle.

Now we have to find CD, AD, and AC of the given rectangle.

To find CD and AD:

From the property opposite sides are equal in rectangle.

So, CD = AB = 5

AD = BC = 12

To find AC:

By using Pythagorean Theorem

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