   Chapter 5.4, Problem 25E 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

Each side of a rhombus measure 12 in. If one diagonal is 18 in. long, how long is the other diagonal?

To determine

To Find:

Lengths of the one diagonal of the rhombus.

Explanation

Given each side of a rhombus measure 12 in. If one diagonal is 18 in. long.

The figure can be redrawn as,

From the given data,

Length of one diagonal is 18 in.

And the length side of the rhombus is 12 in.

Let the length of the other diagonal is 2x in.

From the figure,

AC= 8,

Then AO=12(AC)=12(18)=9.

Let BD = 2x.Then BO = 12(BD)=12(2x)=x in.

Then the ABO becomes the right triangle, with sides of the triangle are 3 in and 4 in

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