   Chapter 5.4, Problem 21E ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698

#### Solutions

Chapter
Section ### Elementary Geometry for College St...

6th Edition
Daniel C. Alexander + 1 other
ISBN: 9781285195698
Textbook Problem
1 views

# A rectangle has a width of 16 cm and a diagonal of length 20 cm. How long is the rectangle?

To determine

To Find:

Length of the rectangle is 12 cm.

Explanation

Given A rectangle has a width of 16 cm and a diagonal of length 20 cm.

The figure can be redrawn as,

From the given data,

Width of the rectangle = 16 cm.

Length of the diagonal = 20 cm.

Let x be the length of the rectangle.

From the figure,

ABC is a right triangle,

From the Pythagorean Theorem,

AC2=AB2+BC2202

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